-1+7x+4=8(x-1)-6

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Solution for -1+7x+4=8(x-1)-6 equation:


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

Reorder the terms:
-1 + 4 + 7x = 8(x + -1) + -6

Combine like terms: -1 + 4 = 3
3 + 7x = 8(x + -1) + -6

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

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

Combine like terms: -8 + -6 = -14
3 + 7x = -14 + 8x

Solving
3 + 7x = -14 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
3 + 7x + -8x = -14 + 8x + -8x

Combine like terms: 7x + -8x = -1x
3 + -1x = -14 + 8x + -8x

Combine like terms: 8x + -8x = 0
3 + -1x = -14 + 0
3 + -1x = -14

Add '-3' to each side of the equation.
3 + -3 + -1x = -14 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = -14 + -3
-1x = -14 + -3

Combine like terms: -14 + -3 = -17
-1x = -17

Divide each side by '-1'.
x = 17

Simplifying
x = 17

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