4(3-3x)-8=15-2(5x+8)

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Solution for 4(3-3x)-8=15-2(5x+8) equation:


Simplifying
4(3 + -3x) + -8 = 15 + -2(5x + 8)
(3 * 4 + -3x * 4) + -8 = 15 + -2(5x + 8)
(12 + -12x) + -8 = 15 + -2(5x + 8)

Reorder the terms:
12 + -8 + -12x = 15 + -2(5x + 8)

Combine like terms: 12 + -8 = 4
4 + -12x = 15 + -2(5x + 8)

Reorder the terms:
4 + -12x = 15 + -2(8 + 5x)
4 + -12x = 15 + (8 * -2 + 5x * -2)
4 + -12x = 15 + (-16 + -10x)

Combine like terms: 15 + -16 = -1
4 + -12x = -1 + -10x

Solving
4 + -12x = -1 + -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.
4 + -12x + 10x = -1 + -10x + 10x

Combine like terms: -12x + 10x = -2x
4 + -2x = -1 + -10x + 10x

Combine like terms: -10x + 10x = 0
4 + -2x = -1 + 0
4 + -2x = -1

Add '-4' to each side of the equation.
4 + -4 + -2x = -1 + -4

Combine like terms: 4 + -4 = 0
0 + -2x = -1 + -4
-2x = -1 + -4

Combine like terms: -1 + -4 = -5
-2x = -5

Divide each side by '-2'.
x = 2.5

Simplifying
x = 2.5

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