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

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


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

Reorder the terms:
-3(-2 + x) + 4 = 4(-1x + 2)
(-2 * -3 + x * -3) + 4 = 4(-1x + 2)
(6 + -3x) + 4 = 4(-1x + 2)

Reorder the terms:
6 + 4 + -3x = 4(-1x + 2)

Combine like terms: 6 + 4 = 10
10 + -3x = 4(-1x + 2)

Reorder the terms:
10 + -3x = 4(2 + -1x)
10 + -3x = (2 * 4 + -1x * 4)
10 + -3x = (8 + -4x)

Solving
10 + -3x = 8 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
10 + -3x + 4x = 8 + -4x + 4x

Combine like terms: -3x + 4x = 1x
10 + 1x = 8 + -4x + 4x

Combine like terms: -4x + 4x = 0
10 + 1x = 8 + 0
10 + 1x = 8

Add '-10' to each side of the equation.
10 + -10 + 1x = 8 + -10

Combine like terms: 10 + -10 = 0
0 + 1x = 8 + -10
1x = 8 + -10

Combine like terms: 8 + -10 = -2
1x = -2

Divide each side by '1'.
x = -2

Simplifying
x = -2

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