4(x+2)-4=2(x-2)+1

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Solution for 4(x+2)-4=2(x-2)+1 equation: 


Simplifying
4(x + 2) + -4 = 2(x + -2) + 1

Reorder the terms:
4(2 + x) + -4 = 2(x + -2) + 1
(2 * 4 + x * 4) + -4 = 2(x + -2) + 1
(8 + 4x) + -4 = 2(x + -2) + 1

Reorder the terms:
8 + -4 + 4x = 2(x + -2) + 1

Combine like terms: 8 + -4 = 4
4 + 4x = 2(x + -2) + 1

Reorder the terms:
4 + 4x = 2(-2 + x) + 1
4 + 4x = (-2 * 2 + x * 2) + 1
4 + 4x = (-4 + 2x) + 1

Reorder the terms:
4 + 4x = -4 + 1 + 2x

Combine like terms: -4 + 1 = -3
4 + 4x = -3 + 2x

Solving
4 + 4x = -3 + 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.
4 + 4x + -2x = -3 + 2x + -2x

Combine like terms: 4x + -2x = 2x
4 + 2x = -3 + 2x + -2x

Combine like terms: 2x + -2x = 0
4 + 2x = -3 + 0
4 + 2x = -3

Add '-4' to each side of the equation.
4 + -4 + 2x = -3 + -4

Combine like terms: 4 + -4 = 0
0 + 2x = -3 + -4
2x = -3 + -4

Combine like terms: -3 + -4 = -7
2x = -7

Divide each side by '2'.
x = -3.5

Simplifying
x = -3.5

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