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

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


Simplifying
4(-1x + -2) + 5 = 2(2x + 7)

Reorder the terms:
4(-2 + -1x) + 5 = 2(2x + 7)
(-2 * 4 + -1x * 4) + 5 = 2(2x + 7)
(-8 + -4x) + 5 = 2(2x + 7)

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

Combine like terms: -8 + 5 = -3
-3 + -4x = 2(2x + 7)

Reorder the terms:
-3 + -4x = 2(7 + 2x)
-3 + -4x = (7 * 2 + 2x * 2)
-3 + -4x = (14 + 4x)

Solving
-3 + -4x = 14 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-3 + -4x + -4x = 14 + 4x + -4x

Combine like terms: -4x + -4x = -8x
-3 + -8x = 14 + 4x + -4x

Combine like terms: 4x + -4x = 0
-3 + -8x = 14 + 0
-3 + -8x = 14

Add '3' to each side of the equation.
-3 + 3 + -8x = 14 + 3

Combine like terms: -3 + 3 = 0
0 + -8x = 14 + 3
-8x = 14 + 3

Combine like terms: 14 + 3 = 17
-8x = 17

Divide each side by '-8'.
x = -2.125

Simplifying
x = -2.125

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