-7x-10(x+9)=-2(8x+8)

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Solution for -7x-10(x+9)=-2(8x+8) equation:


Simplifying
-7x + -10(x + 9) = -2(8x + 8)

Reorder the terms:
-7x + -10(9 + x) = -2(8x + 8)
-7x + (9 * -10 + x * -10) = -2(8x + 8)
-7x + (-90 + -10x) = -2(8x + 8)

Reorder the terms:
-90 + -7x + -10x = -2(8x + 8)

Combine like terms: -7x + -10x = -17x
-90 + -17x = -2(8x + 8)

Reorder the terms:
-90 + -17x = -2(8 + 8x)
-90 + -17x = (8 * -2 + 8x * -2)
-90 + -17x = (-16 + -16x)

Solving
-90 + -17x = -16 + -16x

Solving for variable 'x'.

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

Add '16x' to each side of the equation.
-90 + -17x + 16x = -16 + -16x + 16x

Combine like terms: -17x + 16x = -1x
-90 + -1x = -16 + -16x + 16x

Combine like terms: -16x + 16x = 0
-90 + -1x = -16 + 0
-90 + -1x = -16

Add '90' to each side of the equation.
-90 + 90 + -1x = -16 + 90

Combine like terms: -90 + 90 = 0
0 + -1x = -16 + 90
-1x = -16 + 90

Combine like terms: -16 + 90 = 74
-1x = 74

Divide each side by '-1'.
x = -74

Simplifying
x = -74

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