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

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


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

Reorder the terms:
-2(5 + 2x) + -3 = -4(x + 1) + 2x
(5 * -2 + 2x * -2) + -3 = -4(x + 1) + 2x
(-10 + -4x) + -3 = -4(x + 1) + 2x

Reorder the terms:
-10 + -3 + -4x = -4(x + 1) + 2x

Combine like terms: -10 + -3 = -13
-13 + -4x = -4(x + 1) + 2x

Reorder the terms:
-13 + -4x = -4(1 + x) + 2x
-13 + -4x = (1 * -4 + x * -4) + 2x
-13 + -4x = (-4 + -4x) + 2x

Combine like terms: -4x + 2x = -2x
-13 + -4x = -4 + -2x

Solving
-13 + -4x = -4 + -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.
-13 + -4x + 2x = -4 + -2x + 2x

Combine like terms: -4x + 2x = -2x
-13 + -2x = -4 + -2x + 2x

Combine like terms: -2x + 2x = 0
-13 + -2x = -4 + 0
-13 + -2x = -4

Add '13' to each side of the equation.
-13 + 13 + -2x = -4 + 13

Combine like terms: -13 + 13 = 0
0 + -2x = -4 + 13
-2x = -4 + 13

Combine like terms: -4 + 13 = 9
-2x = 9

Divide each side by '-2'.
x = -4.5

Simplifying
x = -4.5

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