2(x+4)-4=3(x-1)

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Solution for 2(x+4)-4=3(x-1) equation:


Simplifying
2(x + 4) + -4 = 3(x + -1)

Reorder the terms:
2(4 + x) + -4 = 3(x + -1)
(4 * 2 + x * 2) + -4 = 3(x + -1)
(8 + 2x) + -4 = 3(x + -1)

Reorder the terms:
8 + -4 + 2x = 3(x + -1)

Combine like terms: 8 + -4 = 4
4 + 2x = 3(x + -1)

Reorder the terms:
4 + 2x = 3(-1 + x)
4 + 2x = (-1 * 3 + x * 3)
4 + 2x = (-3 + 3x)

Solving
4 + 2x = -3 + 3x

Solving for variable 'x'.

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

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

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

Combine like terms: 3x + -3x = 0
4 + -1x = -3 + 0
4 + -1x = -3

Add '-4' to each side of the equation.
4 + -4 + -1x = -3 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = -3 + -4
-1x = -3 + -4

Combine like terms: -3 + -4 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7

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