2(5-4x)+6x-8=3(8-3x)+8

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Solution for 2(5-4x)+6x-8=3(8-3x)+8 equation: 


Simplifying
2(5 + -4x) + 6x + -8 = 3(8 + -3x) + 8
(5 * 2 + -4x * 2) + 6x + -8 = 3(8 + -3x) + 8
(10 + -8x) + 6x + -8 = 3(8 + -3x) + 8

Reorder the terms:
10 + -8 + -8x + 6x = 3(8 + -3x) + 8

Combine like terms: 10 + -8 = 2
2 + -8x + 6x = 3(8 + -3x) + 8

Combine like terms: -8x + 6x = -2x
2 + -2x = 3(8 + -3x) + 8
2 + -2x = (8 * 3 + -3x * 3) + 8
2 + -2x = (24 + -9x) + 8

Reorder the terms:
2 + -2x = 24 + 8 + -9x

Combine like terms: 24 + 8 = 32
2 + -2x = 32 + -9x

Solving
2 + -2x = 32 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
2 + -2x + 9x = 32 + -9x + 9x

Combine like terms: -2x + 9x = 7x
2 + 7x = 32 + -9x + 9x

Combine like terms: -9x + 9x = 0
2 + 7x = 32 + 0
2 + 7x = 32

Add '-2' to each side of the equation.
2 + -2 + 7x = 32 + -2

Combine like terms: 2 + -2 = 0
0 + 7x = 32 + -2
7x = 32 + -2

Combine like terms: 32 + -2 = 30
7x = 30

Divide each side by '7'.
x = 4.285714286

Simplifying
x = 4.285714286

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