-4x-11(x+5)=-7(2x+2)

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Solution for -4x-11(x+5)=-7(2x+2) equation:


Simplifying
-4x + -11(x + 5) = -7(2x + 2)

Reorder the terms:
-4x + -11(5 + x) = -7(2x + 2)
-4x + (5 * -11 + x * -11) = -7(2x + 2)
-4x + (-55 + -11x) = -7(2x + 2)

Reorder the terms:
-55 + -4x + -11x = -7(2x + 2)

Combine like terms: -4x + -11x = -15x
-55 + -15x = -7(2x + 2)

Reorder the terms:
-55 + -15x = -7(2 + 2x)
-55 + -15x = (2 * -7 + 2x * -7)
-55 + -15x = (-14 + -14x)

Solving
-55 + -15x = -14 + -14x

Solving for variable 'x'.

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

Add '14x' to each side of the equation.
-55 + -15x + 14x = -14 + -14x + 14x

Combine like terms: -15x + 14x = -1x
-55 + -1x = -14 + -14x + 14x

Combine like terms: -14x + 14x = 0
-55 + -1x = -14 + 0
-55 + -1x = -14

Add '55' to each side of the equation.
-55 + 55 + -1x = -14 + 55

Combine like terms: -55 + 55 = 0
0 + -1x = -14 + 55
-1x = -14 + 55

Combine like terms: -14 + 55 = 41
-1x = 41

Divide each side by '-1'.
x = -41

Simplifying
x = -41

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