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

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


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

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

Reorder the terms:
3 + -3x = 5(3 + 2x)
3 + -3x = (3 * 5 + 2x * 5)
3 + -3x = (15 + 10x)

Solving
3 + -3x = 15 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
3 + -3x + -10x = 15 + 10x + -10x

Combine like terms: -3x + -10x = -13x
3 + -13x = 15 + 10x + -10x

Combine like terms: 10x + -10x = 0
3 + -13x = 15 + 0
3 + -13x = 15

Add '-3' to each side of the equation.
3 + -3 + -13x = 15 + -3

Combine like terms: 3 + -3 = 0
0 + -13x = 15 + -3
-13x = 15 + -3

Combine like terms: 15 + -3 = 12
-13x = 12

Divide each side by '-13'.
x = -0.9230769231

Simplifying
x = -0.9230769231

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