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The Corbettmaths Textbook Exercise on Solving Equations with Letters on Both Sides.
To solve an equation for a variable like "x," you need to manipulate the equation to isolate x. Use techniques like the distributive property, combining like terms, factoring, adding or subtracting the same number, and multiplying or dividing by the same non-zero number to isolate "x" and find the answer.
The following figure shows how to solve equations with variables on both sides. Scroll down the page for more examples and solutions. Consider the equation x – 6 = –2x + 3. To isolate the variable, we need to get all the variable terms to one side and the constant terms to the other side.
By doing this, we will transform the equation that started with variables and constants on both sides into the form a x = b. a x = b. We already know how to solve equations of this form by using the Division or Multiplication Properties of Equality.
Solve an equation with variables and constants on both sides. Choose one side to be the variable side and then the other will be the constant side. Collect the variable terms to the variable side, using the Addition or Subtraction Property of Equality.
Practise solving equations with \(x\) on both sides with this quiz. You may need a pen and paper to help you with your answers.
Solving Equations with Variables on Both Sides 1– This 12 problem worksheet is designed to introduce you to solving equations that have variables on both sides. Only positive whole numbers are featured in the equations and all of the answers are positive as well.
Given a real-world context, write and solve one-variable multi-step linear equations. To solve an equation with variables on both sides, use inverse operations to collect the variable terms on one side and the constant terms on the other side. Then isolate the variable. − = −9x.
SOLVING EQUATIONS—VARIABLES ON BOTH SIDES #1. Directions: Solve for x in each equation below. Use inverse operations to get the variable all by itself on one side of the equation, and then get the integers (numbers) alone on the other side of the equation.
Equations: Letters on Both Sides Video 113 on www.corbettmaths.com Question 4: Solve the following equations (a) (b) (c) (d) (e) (f) (g) (h) Question 1: Shown is a rectangle (a) Explain why 9x + 12 = 4x + 47 (b) Find x Question 2: Shown is an isosceles triangle