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

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Solution for 2(3x-4)+5=-5(1-x)+3x equation:


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

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

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

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

Combine like terms: 5x + 3x = 8x
-3 + 6x = -5 + 8x

Solving
-3 + 6x = -5 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-3 + 6x + -8x = -5 + 8x + -8x

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

Combine like terms: 8x + -8x = 0
-3 + -2x = -5 + 0
-3 + -2x = -5

Add '3' to each side of the equation.
-3 + 3 + -2x = -5 + 3

Combine like terms: -3 + 3 = 0
0 + -2x = -5 + 3
-2x = -5 + 3

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

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

Simplifying
x = 1

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