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

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


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

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

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

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

Reorder the terms:
2 + 3x = -2(-5 + 4x) + 5x
2 + 3x = (-5 * -2 + 4x * -2) + 5x
2 + 3x = (10 + -8x) + 5x

Combine like terms: -8x + 5x = -3x
2 + 3x = 10 + -3x

Solving
2 + 3x = 10 + -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.
2 + 3x + 3x = 10 + -3x + 3x

Combine like terms: 3x + 3x = 6x
2 + 6x = 10 + -3x + 3x

Combine like terms: -3x + 3x = 0
2 + 6x = 10 + 0
2 + 6x = 10

Add '-2' to each side of the equation.
2 + -2 + 6x = 10 + -2

Combine like terms: 2 + -2 = 0
0 + 6x = 10 + -2
6x = 10 + -2

Combine like terms: 10 + -2 = 8
6x = 8

Divide each side by '6'.
x = 1.333333333

Simplifying
x = 1.333333333

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