-2x-5(x+7)=-2(3x+7)

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Solution for -2x-5(x+7)=-2(3x+7) equation:


Simplifying
-2x + -5(x + 7) = -2(3x + 7)

Reorder the terms:
-2x + -5(7 + x) = -2(3x + 7)
-2x + (7 * -5 + x * -5) = -2(3x + 7)
-2x + (-35 + -5x) = -2(3x + 7)

Reorder the terms:
-35 + -2x + -5x = -2(3x + 7)

Combine like terms: -2x + -5x = -7x
-35 + -7x = -2(3x + 7)

Reorder the terms:
-35 + -7x = -2(7 + 3x)
-35 + -7x = (7 * -2 + 3x * -2)
-35 + -7x = (-14 + -6x)

Solving
-35 + -7x = -14 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-35 + -7x + 6x = -14 + -6x + 6x

Combine like terms: -7x + 6x = -1x
-35 + -1x = -14 + -6x + 6x

Combine like terms: -6x + 6x = 0
-35 + -1x = -14 + 0
-35 + -1x = -14

Add '35' to each side of the equation.
-35 + 35 + -1x = -14 + 35

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

Combine like terms: -14 + 35 = 21
-1x = 21

Divide each side by '-1'.
x = -21

Simplifying
x = -21

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