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

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


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

Reorder the terms:
3(5 + 2x) + -3 = 2(4x + -8) + 8
(5 * 3 + 2x * 3) + -3 = 2(4x + -8) + 8
(15 + 6x) + -3 = 2(4x + -8) + 8

Reorder the terms:
15 + -3 + 6x = 2(4x + -8) + 8

Combine like terms: 15 + -3 = 12
12 + 6x = 2(4x + -8) + 8

Reorder the terms:
12 + 6x = 2(-8 + 4x) + 8
12 + 6x = (-8 * 2 + 4x * 2) + 8
12 + 6x = (-16 + 8x) + 8

Reorder the terms:
12 + 6x = -16 + 8 + 8x

Combine like terms: -16 + 8 = -8
12 + 6x = -8 + 8x

Solving
12 + 6x = -8 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
12 + 6x + -8x = -8 + 8x + -8x

Combine like terms: 6x + -8x = -2x
12 + -2x = -8 + 8x + -8x

Combine like terms: 8x + -8x = 0
12 + -2x = -8 + 0
12 + -2x = -8

Add '-12' to each side of the equation.
12 + -12 + -2x = -8 + -12

Combine like terms: 12 + -12 = 0
0 + -2x = -8 + -12
-2x = -8 + -12

Combine like terms: -8 + -12 = -20
-2x = -20

Divide each side by '-2'.
x = 10

Simplifying
x = 10

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