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

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


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

Reorder the terms:
-3(-5 + 2x) + 3x = 5(x + -1) + -4
(-5 * -3 + 2x * -3) + 3x = 5(x + -1) + -4
(15 + -6x) + 3x = 5(x + -1) + -4

Combine like terms: -6x + 3x = -3x
15 + -3x = 5(x + -1) + -4

Reorder the terms:
15 + -3x = 5(-1 + x) + -4
15 + -3x = (-1 * 5 + x * 5) + -4
15 + -3x = (-5 + 5x) + -4

Reorder the terms:
15 + -3x = -5 + -4 + 5x

Combine like terms: -5 + -4 = -9
15 + -3x = -9 + 5x

Solving
15 + -3x = -9 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
15 + -3x + -5x = -9 + 5x + -5x

Combine like terms: -3x + -5x = -8x
15 + -8x = -9 + 5x + -5x

Combine like terms: 5x + -5x = 0
15 + -8x = -9 + 0
15 + -8x = -9

Add '-15' to each side of the equation.
15 + -15 + -8x = -9 + -15

Combine like terms: 15 + -15 = 0
0 + -8x = -9 + -15
-8x = -9 + -15

Combine like terms: -9 + -15 = -24
-8x = -24

Divide each side by '-8'.
x = 3

Simplifying
x = 3

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