-8x-7(x+5)=-2(7x+4)

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Solution for -8x-7(x+5)=-2(7x+4) equation:


Simplifying
-8x + -7(x + 5) = -2(7x + 4)

Reorder the terms:
-8x + -7(5 + x) = -2(7x + 4)
-8x + (5 * -7 + x * -7) = -2(7x + 4)
-8x + (-35 + -7x) = -2(7x + 4)

Reorder the terms:
-35 + -8x + -7x = -2(7x + 4)

Combine like terms: -8x + -7x = -15x
-35 + -15x = -2(7x + 4)

Reorder the terms:
-35 + -15x = -2(4 + 7x)
-35 + -15x = (4 * -2 + 7x * -2)
-35 + -15x = (-8 + -14x)

Solving
-35 + -15x = -8 + -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.
-35 + -15x + 14x = -8 + -14x + 14x

Combine like terms: -15x + 14x = -1x
-35 + -1x = -8 + -14x + 14x

Combine like terms: -14x + 14x = 0
-35 + -1x = -8 + 0
-35 + -1x = -8

Add '35' to each side of the equation.
-35 + 35 + -1x = -8 + 35

Combine like terms: -35 + 35 = 0
0 + -1x = -8 + 35
-1x = -8 + 35

Combine like terms: -8 + 35 = 27
-1x = 27

Divide each side by '-1'.
x = -27

Simplifying
x = -27

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