6(x-11)-(x-7)=-4+9x+1-8x

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Solution for 6(x-11)-(x-7)=-4+9x+1-8x equation:


Simplifying
6(x + -11) + -1(x + -7) = -4 + 9x + 1 + -8x

Reorder the terms:
6(-11 + x) + -1(x + -7) = -4 + 9x + 1 + -8x
(-11 * 6 + x * 6) + -1(x + -7) = -4 + 9x + 1 + -8x
(-66 + 6x) + -1(x + -7) = -4 + 9x + 1 + -8x

Reorder the terms:
-66 + 6x + -1(-7 + x) = -4 + 9x + 1 + -8x
-66 + 6x + (-7 * -1 + x * -1) = -4 + 9x + 1 + -8x
-66 + 6x + (7 + -1x) = -4 + 9x + 1 + -8x

Reorder the terms:
-66 + 7 + 6x + -1x = -4 + 9x + 1 + -8x

Combine like terms: -66 + 7 = -59
-59 + 6x + -1x = -4 + 9x + 1 + -8x

Combine like terms: 6x + -1x = 5x
-59 + 5x = -4 + 9x + 1 + -8x

Reorder the terms:
-59 + 5x = -4 + 1 + 9x + -8x

Combine like terms: -4 + 1 = -3
-59 + 5x = -3 + 9x + -8x

Combine like terms: 9x + -8x = 1x
-59 + 5x = -3 + 1x

Solving
-59 + 5x = -3 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-59 + 5x + -1x = -3 + 1x + -1x

Combine like terms: 5x + -1x = 4x
-59 + 4x = -3 + 1x + -1x

Combine like terms: 1x + -1x = 0
-59 + 4x = -3 + 0
-59 + 4x = -3

Add '59' to each side of the equation.
-59 + 59 + 4x = -3 + 59

Combine like terms: -59 + 59 = 0
0 + 4x = -3 + 59
4x = -3 + 59

Combine like terms: -3 + 59 = 56
4x = 56

Divide each side by '4'.
x = 14

Simplifying
x = 14

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