4(x-2)-7=2x+7

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Solution for 4(x-2)-7=2x+7 equation:


Simplifying
4(x + -2) + -7 = 2x + 7

Reorder the terms:
4(-2 + x) + -7 = 2x + 7
(-2 * 4 + x * 4) + -7 = 2x + 7
(-8 + 4x) + -7 = 2x + 7

Reorder the terms:
-8 + -7 + 4x = 2x + 7

Combine like terms: -8 + -7 = -15
-15 + 4x = 2x + 7

Reorder the terms:
-15 + 4x = 7 + 2x

Solving
-15 + 4x = 7 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.
-15 + 4x + -2x = 7 + 2x + -2x

Combine like terms: 4x + -2x = 2x
-15 + 2x = 7 + 2x + -2x

Combine like terms: 2x + -2x = 0
-15 + 2x = 7 + 0
-15 + 2x = 7

Add '15' to each side of the equation.
-15 + 15 + 2x = 7 + 15

Combine like terms: -15 + 15 = 0
0 + 2x = 7 + 15
2x = 7 + 15

Combine like terms: 7 + 15 = 22
2x = 22

Divide each side by '2'.
x = 11

Simplifying
x = 11

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