-4x-7(x+2)=-2(5x+5)

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Solution for -4x-7(x+2)=-2(5x+5) equation:


Simplifying
-4x + -7(x + 2) = -2(5x + 5)

Reorder the terms:
-4x + -7(2 + x) = -2(5x + 5)
-4x + (2 * -7 + x * -7) = -2(5x + 5)
-4x + (-14 + -7x) = -2(5x + 5)

Reorder the terms:
-14 + -4x + -7x = -2(5x + 5)

Combine like terms: -4x + -7x = -11x
-14 + -11x = -2(5x + 5)

Reorder the terms:
-14 + -11x = -2(5 + 5x)
-14 + -11x = (5 * -2 + 5x * -2)
-14 + -11x = (-10 + -10x)

Solving
-14 + -11x = -10 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
-14 + -11x + 10x = -10 + -10x + 10x

Combine like terms: -11x + 10x = -1x
-14 + -1x = -10 + -10x + 10x

Combine like terms: -10x + 10x = 0
-14 + -1x = -10 + 0
-14 + -1x = -10

Add '14' to each side of the equation.
-14 + 14 + -1x = -10 + 14

Combine like terms: -14 + 14 = 0
0 + -1x = -10 + 14
-1x = -10 + 14

Combine like terms: -10 + 14 = 4
-1x = 4

Divide each side by '-1'.
x = -4

Simplifying
x = -4

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