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

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


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

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

Reorder the terms:
12 + -5 + -4x = -3x + 15

Combine like terms: 12 + -5 = 7
7 + -4x = -3x + 15

Reorder the terms:
7 + -4x = 15 + -3x

Solving
7 + -4x = 15 + -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.
7 + -4x + 3x = 15 + -3x + 3x

Combine like terms: -4x + 3x = -1x
7 + -1x = 15 + -3x + 3x

Combine like terms: -3x + 3x = 0
7 + -1x = 15 + 0
7 + -1x = 15

Add '-7' to each side of the equation.
7 + -7 + -1x = 15 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 15 + -7
-1x = 15 + -7

Combine like terms: 15 + -7 = 8
-1x = 8

Divide each side by '-1'.
x = -8

Simplifying
x = -8

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