-x-4(5x-3)-7x=-8(-x-9)

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Solution for -x-4(5x-3)-7x=-8(-x-9) equation:


Simplifying
-1x + -4(5x + -3) + -7x = -8(-1x + -9)

Reorder the terms:
-1x + -4(-3 + 5x) + -7x = -8(-1x + -9)
-1x + (-3 * -4 + 5x * -4) + -7x = -8(-1x + -9)
-1x + (12 + -20x) + -7x = -8(-1x + -9)

Reorder the terms:
12 + -1x + -20x + -7x = -8(-1x + -9)

Combine like terms: -1x + -20x = -21x
12 + -21x + -7x = -8(-1x + -9)

Combine like terms: -21x + -7x = -28x
12 + -28x = -8(-1x + -9)

Reorder the terms:
12 + -28x = -8(-9 + -1x)
12 + -28x = (-9 * -8 + -1x * -8)
12 + -28x = (72 + 8x)

Solving
12 + -28x = 72 + 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.
12 + -28x + -8x = 72 + 8x + -8x

Combine like terms: -28x + -8x = -36x
12 + -36x = 72 + 8x + -8x

Combine like terms: 8x + -8x = 0
12 + -36x = 72 + 0
12 + -36x = 72

Add '-12' to each side of the equation.
12 + -12 + -36x = 72 + -12

Combine like terms: 12 + -12 = 0
0 + -36x = 72 + -12
-36x = 72 + -12

Combine like terms: 72 + -12 = 60
-36x = 60

Divide each side by '-36'.
x = -1.666666667

Simplifying
x = -1.666666667

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