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

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


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

Reorder the terms:
2x + -5(4 + x) = -2(x + 3)
2x + (4 * -5 + x * -5) = -2(x + 3)
2x + (-20 + -5x) = -2(x + 3)

Reorder the terms:
-20 + 2x + -5x = -2(x + 3)

Combine like terms: 2x + -5x = -3x
-20 + -3x = -2(x + 3)

Reorder the terms:
-20 + -3x = -2(3 + x)
-20 + -3x = (3 * -2 + x * -2)
-20 + -3x = (-6 + -2x)

Solving
-20 + -3x = -6 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-20 + -3x + 2x = -6 + -2x + 2x

Combine like terms: -3x + 2x = -1x
-20 + -1x = -6 + -2x + 2x

Combine like terms: -2x + 2x = 0
-20 + -1x = -6 + 0
-20 + -1x = -6

Add '20' to each side of the equation.
-20 + 20 + -1x = -6 + 20

Combine like terms: -20 + 20 = 0
0 + -1x = -6 + 20
-1x = -6 + 20

Combine like terms: -6 + 20 = 14
-1x = 14

Divide each side by '-1'.
x = -14

Simplifying
x = -14

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