Math Problem Statement

2(7 - 2x) = 6

Solution

The equation shown in the image is:

2(72x)=62(7 - 2x) = 6

Let's solve this step-by-step.

  1. First, distribute the 22 to both terms inside the parentheses:

2×72×2x=62 \times 7 - 2 \times 2x = 6

This simplifies to:

144x=614 - 4x = 6

  1. Next, move the constant 1414 to the other side by subtracting 1414 from both sides:

144x14=61414 - 4x - 14 = 6 - 14

This simplifies to:

4x=8-4x = -8

  1. Finally, divide both sides by 4-4 to solve for xx:

[ x = \frac{-8}{-4

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

Distributive Property
Linear Equation Solving

Theorems

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Suitable Grade Level

Grades 6-8