10-(8x-2)=9x-(3+4x)

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Solution for 10-(8x-2)=9x-(3+4x) equation: 


Simplifying
10 + -1(8x + -2) = 9x + -1(3 + 4x)

Reorder the terms:
10 + -1(-2 + 8x) = 9x + -1(3 + 4x)
10 + (-2 * -1 + 8x * -1) = 9x + -1(3 + 4x)
10 + (2 + -8x) = 9x + -1(3 + 4x)

Combine like terms: 10 + 2 = 12
12 + -8x = 9x + -1(3 + 4x)
12 + -8x = 9x + (3 * -1 + 4x * -1)
12 + -8x = 9x + (-3 + -4x)

Reorder the terms:
12 + -8x = -3 + 9x + -4x

Combine like terms: 9x + -4x = 5x
12 + -8x = -3 + 5x

Solving
12 + -8x = -3 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
12 + -8x + -5x = -3 + 5x + -5x

Combine like terms: -8x + -5x = -13x
12 + -13x = -3 + 5x + -5x

Combine like terms: 5x + -5x = 0
12 + -13x = -3 + 0
12 + -13x = -3

Add '-12' to each side of the equation.
12 + -12 + -13x = -3 + -12

Combine like terms: 12 + -12 = 0
0 + -13x = -3 + -12
-13x = -3 + -12

Combine like terms: -3 + -12 = -15
-13x = -15

Divide each side by '-13'.
x = 1.153846154

Simplifying
x = 1.153846154

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