-7x-10(x+4)=-2(8x+7)

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Solution for -7x-10(x+4)=-2(8x+7) equation:


Simplifying
-7x + -10(x + 4) = -2(8x + 7)

Reorder the terms:
-7x + -10(4 + x) = -2(8x + 7)
-7x + (4 * -10 + x * -10) = -2(8x + 7)
-7x + (-40 + -10x) = -2(8x + 7)

Reorder the terms:
-40 + -7x + -10x = -2(8x + 7)

Combine like terms: -7x + -10x = -17x
-40 + -17x = -2(8x + 7)

Reorder the terms:
-40 + -17x = -2(7 + 8x)
-40 + -17x = (7 * -2 + 8x * -2)
-40 + -17x = (-14 + -16x)

Solving
-40 + -17x = -14 + -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.
-40 + -17x + 16x = -14 + -16x + 16x

Combine like terms: -17x + 16x = -1x
-40 + -1x = -14 + -16x + 16x

Combine like terms: -16x + 16x = 0
-40 + -1x = -14 + 0
-40 + -1x = -14

Add '40' to each side of the equation.
-40 + 40 + -1x = -14 + 40

Combine like terms: -40 + 40 = 0
0 + -1x = -14 + 40
-1x = -14 + 40

Combine like terms: -14 + 40 = 26
-1x = 26

Divide each side by '-1'.
x = -26

Simplifying
x = -26

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