6x-(4-7x)=3x-8(2+x)

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Solution for 6x-(4-7x)=3x-8(2+x) equation:


Simplifying
6x + -1(4 + -7x) = 3x + -8(2 + x)
6x + (4 * -1 + -7x * -1) = 3x + -8(2 + x)
6x + (-4 + 7x) = 3x + -8(2 + x)

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

Combine like terms: 6x + 7x = 13x
-4 + 13x = 3x + -8(2 + x)
-4 + 13x = 3x + (2 * -8 + x * -8)
-4 + 13x = 3x + (-16 + -8x)

Reorder the terms:
-4 + 13x = -16 + 3x + -8x

Combine like terms: 3x + -8x = -5x
-4 + 13x = -16 + -5x

Solving
-4 + 13x = -16 + -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.
-4 + 13x + 5x = -16 + -5x + 5x

Combine like terms: 13x + 5x = 18x
-4 + 18x = -16 + -5x + 5x

Combine like terms: -5x + 5x = 0
-4 + 18x = -16 + 0
-4 + 18x = -16

Add '4' to each side of the equation.
-4 + 4 + 18x = -16 + 4

Combine like terms: -4 + 4 = 0
0 + 18x = -16 + 4
18x = -16 + 4

Combine like terms: -16 + 4 = -12
18x = -12

Divide each side by '18'.
x = -0.6666666667

Simplifying
x = -0.6666666667

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