5(x-4)-12=15-6(x+5)

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Solution for 5(x-4)-12=15-6(x+5) equation:


Simplifying
5(x + -4) + -12 = 15 + -6(x + 5)

Reorder the terms:
5(-4 + x) + -12 = 15 + -6(x + 5)
(-4 * 5 + x * 5) + -12 = 15 + -6(x + 5)
(-20 + 5x) + -12 = 15 + -6(x + 5)

Reorder the terms:
-20 + -12 + 5x = 15 + -6(x + 5)

Combine like terms: -20 + -12 = -32
-32 + 5x = 15 + -6(x + 5)

Reorder the terms:
-32 + 5x = 15 + -6(5 + x)
-32 + 5x = 15 + (5 * -6 + x * -6)
-32 + 5x = 15 + (-30 + -6x)

Combine like terms: 15 + -30 = -15
-32 + 5x = -15 + -6x

Solving
-32 + 5x = -15 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-32 + 5x + 6x = -15 + -6x + 6x

Combine like terms: 5x + 6x = 11x
-32 + 11x = -15 + -6x + 6x

Combine like terms: -6x + 6x = 0
-32 + 11x = -15 + 0
-32 + 11x = -15

Add '32' to each side of the equation.
-32 + 32 + 11x = -15 + 32

Combine like terms: -32 + 32 = 0
0 + 11x = -15 + 32
11x = -15 + 32

Combine like terms: -15 + 32 = 17
11x = 17

Divide each side by '11'.
x = 1.545454545

Simplifying
x = 1.545454545

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