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

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


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

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

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

Solving
5 + -2x = 8 + 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.
5 + -2x + -4x = 8 + 4x + -4x

Combine like terms: -2x + -4x = -6x
5 + -6x = 8 + 4x + -4x

Combine like terms: 4x + -4x = 0
5 + -6x = 8 + 0
5 + -6x = 8

Add '-5' to each side of the equation.
5 + -5 + -6x = 8 + -5

Combine like terms: 5 + -5 = 0
0 + -6x = 8 + -5
-6x = 8 + -5

Combine like terms: 8 + -5 = 3
-6x = 3

Divide each side by '-6'.
x = -0.5

Simplifying
x = -0.5

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