-4(2x-3)=3(5x-1)+15

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Solution for -4(2x-3)=3(5x-1)+15 equation:


Simplifying
-4(2x + -3) = 3(5x + -1) + 15

Reorder the terms:
-4(-3 + 2x) = 3(5x + -1) + 15
(-3 * -4 + 2x * -4) = 3(5x + -1) + 15
(12 + -8x) = 3(5x + -1) + 15

Reorder the terms:
12 + -8x = 3(-1 + 5x) + 15
12 + -8x = (-1 * 3 + 5x * 3) + 15
12 + -8x = (-3 + 15x) + 15

Reorder the terms:
12 + -8x = -3 + 15 + 15x

Combine like terms: -3 + 15 = 12
12 + -8x = 12 + 15x

Add '-12' to each side of the equation.
12 + -12 + -8x = 12 + -12 + 15x

Combine like terms: 12 + -12 = 0
0 + -8x = 12 + -12 + 15x
-8x = 12 + -12 + 15x

Combine like terms: 12 + -12 = 0
-8x = 0 + 15x
-8x = 15x

Solving
-8x = 15x

Solving for variable 'x'.

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

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

Combine like terms: -8x + -15x = -23x
-23x = 15x + -15x

Combine like terms: 15x + -15x = 0
-23x = 0

Divide each side by '-23'.
x = 0

Simplifying
x = 0

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