(-7+8x)-(x-1)=3x+6

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Solution for (-7+8x)-(x-1)=3x+6 equation:


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

Remove parenthesis around (-7 + 8x)
-7 + 8x + -1(x + -1) = 3x + 6

Reorder the terms:
-7 + 8x + -1(-1 + x) = 3x + 6
-7 + 8x + (-1 * -1 + x * -1) = 3x + 6
-7 + 8x + (1 + -1x) = 3x + 6

Reorder the terms:
-7 + 1 + 8x + -1x = 3x + 6

Combine like terms: -7 + 1 = -6
-6 + 8x + -1x = 3x + 6

Combine like terms: 8x + -1x = 7x
-6 + 7x = 3x + 6

Reorder the terms:
-6 + 7x = 6 + 3x

Solving
-6 + 7x = 6 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-6 + 7x + -3x = 6 + 3x + -3x

Combine like terms: 7x + -3x = 4x
-6 + 4x = 6 + 3x + -3x

Combine like terms: 3x + -3x = 0
-6 + 4x = 6 + 0
-6 + 4x = 6

Add '6' to each side of the equation.
-6 + 6 + 4x = 6 + 6

Combine like terms: -6 + 6 = 0
0 + 4x = 6 + 6
4x = 6 + 6

Combine like terms: 6 + 6 = 12
4x = 12

Divide each side by '4'.
x = 3

Simplifying
x = 3

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