3(x-2)-8=-4(2-x)+5

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Solution for 3(x-2)-8=-4(2-x)+5 equation: 


Simplifying
3(x + -2) + -8 = -4(2 + -1x) + 5

Reorder the terms:
3(-2 + x) + -8 = -4(2 + -1x) + 5
(-2 * 3 + x * 3) + -8 = -4(2 + -1x) + 5
(-6 + 3x) + -8 = -4(2 + -1x) + 5

Reorder the terms:
-6 + -8 + 3x = -4(2 + -1x) + 5

Combine like terms: -6 + -8 = -14
-14 + 3x = -4(2 + -1x) + 5
-14 + 3x = (2 * -4 + -1x * -4) + 5
-14 + 3x = (-8 + 4x) + 5

Reorder the terms:
-14 + 3x = -8 + 5 + 4x

Combine like terms: -8 + 5 = -3
-14 + 3x = -3 + 4x

Solving
-14 + 3x = -3 + 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.
-14 + 3x + -4x = -3 + 4x + -4x

Combine like terms: 3x + -4x = -1x
-14 + -1x = -3 + 4x + -4x

Combine like terms: 4x + -4x = 0
-14 + -1x = -3 + 0
-14 + -1x = -3

Add '14' to each side of the equation.
-14 + 14 + -1x = -3 + 14

Combine like terms: -14 + 14 = 0
0 + -1x = -3 + 14
-1x = -3 + 14

Combine like terms: -3 + 14 = 11
-1x = 11

Divide each side by '-1'.
x = -11

Simplifying
x = -11

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