-5x-2(x+1)=-2(3x+4)

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Solution for -5x-2(x+1)=-2(3x+4) equation:


Simplifying
-5x + -2(x + 1) = -2(3x + 4)

Reorder the terms:
-5x + -2(1 + x) = -2(3x + 4)
-5x + (1 * -2 + x * -2) = -2(3x + 4)
-5x + (-2 + -2x) = -2(3x + 4)

Reorder the terms:
-2 + -5x + -2x = -2(3x + 4)

Combine like terms: -5x + -2x = -7x
-2 + -7x = -2(3x + 4)

Reorder the terms:
-2 + -7x = -2(4 + 3x)
-2 + -7x = (4 * -2 + 3x * -2)
-2 + -7x = (-8 + -6x)

Solving
-2 + -7x = -8 + -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.
-2 + -7x + 6x = -8 + -6x + 6x

Combine like terms: -7x + 6x = -1x
-2 + -1x = -8 + -6x + 6x

Combine like terms: -6x + 6x = 0
-2 + -1x = -8 + 0
-2 + -1x = -8

Add '2' to each side of the equation.
-2 + 2 + -1x = -8 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = -8 + 2
-1x = -8 + 2

Combine like terms: -8 + 2 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6

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