-5(2x-1)=23-2(4x+3)

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Solution for -5(2x-1)=23-2(4x+3) equation:


Simplifying
-5(2x + -1) = 23 + -2(4x + 3)

Reorder the terms:
-5(-1 + 2x) = 23 + -2(4x + 3)
(-1 * -5 + 2x * -5) = 23 + -2(4x + 3)
(5 + -10x) = 23 + -2(4x + 3)

Reorder the terms:
5 + -10x = 23 + -2(3 + 4x)
5 + -10x = 23 + (3 * -2 + 4x * -2)
5 + -10x = 23 + (-6 + -8x)

Combine like terms: 23 + -6 = 17
5 + -10x = 17 + -8x

Solving
5 + -10x = 17 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
5 + -10x + 8x = 17 + -8x + 8x

Combine like terms: -10x + 8x = -2x
5 + -2x = 17 + -8x + 8x

Combine like terms: -8x + 8x = 0
5 + -2x = 17 + 0
5 + -2x = 17

Add '-5' to each side of the equation.
5 + -5 + -2x = 17 + -5

Combine like terms: 5 + -5 = 0
0 + -2x = 17 + -5
-2x = 17 + -5

Combine like terms: 17 + -5 = 12
-2x = 12

Divide each side by '-2'.
x = -6

Simplifying
x = -6

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