-10-3(2x-7)=8x+2(4-3x)

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Solution for -10-3(2x-7)=8x+2(4-3x) equation: 


Simplifying
-10 + -3(2x + -7) = 8x + 2(4 + -3x)

Reorder the terms:
-10 + -3(-7 + 2x) = 8x + 2(4 + -3x)
-10 + (-7 * -3 + 2x * -3) = 8x + 2(4 + -3x)
-10 + (21 + -6x) = 8x + 2(4 + -3x)

Combine like terms: -10 + 21 = 11
11 + -6x = 8x + 2(4 + -3x)
11 + -6x = 8x + (4 * 2 + -3x * 2)
11 + -6x = 8x + (8 + -6x)

Reorder the terms:
11 + -6x = 8 + 8x + -6x

Combine like terms: 8x + -6x = 2x
11 + -6x = 8 + 2x

Solving
11 + -6x = 8 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
11 + -6x + -2x = 8 + 2x + -2x

Combine like terms: -6x + -2x = -8x
11 + -8x = 8 + 2x + -2x

Combine like terms: 2x + -2x = 0
11 + -8x = 8 + 0
11 + -8x = 8

Add '-11' to each side of the equation.
11 + -11 + -8x = 8 + -11

Combine like terms: 11 + -11 = 0
0 + -8x = 8 + -11
-8x = 8 + -11

Combine like terms: 8 + -11 = -3
-8x = -3

Divide each side by '-8'.
x = 0.375

Simplifying
x = 0.375

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