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

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


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

Reorder the terms:
5(3 + 2x) + -2(x + -4) = 2x + -1
(3 * 5 + 2x * 5) + -2(x + -4) = 2x + -1
(15 + 10x) + -2(x + -4) = 2x + -1

Reorder the terms:
15 + 10x + -2(-4 + x) = 2x + -1
15 + 10x + (-4 * -2 + x * -2) = 2x + -1
15 + 10x + (8 + -2x) = 2x + -1

Reorder the terms:
15 + 8 + 10x + -2x = 2x + -1

Combine like terms: 15 + 8 = 23
23 + 10x + -2x = 2x + -1

Combine like terms: 10x + -2x = 8x
23 + 8x = 2x + -1

Reorder the terms:
23 + 8x = -1 + 2x

Solving
23 + 8x = -1 + 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.
23 + 8x + -2x = -1 + 2x + -2x

Combine like terms: 8x + -2x = 6x
23 + 6x = -1 + 2x + -2x

Combine like terms: 2x + -2x = 0
23 + 6x = -1 + 0
23 + 6x = -1

Add '-23' to each side of the equation.
23 + -23 + 6x = -1 + -23

Combine like terms: 23 + -23 = 0
0 + 6x = -1 + -23
6x = -1 + -23

Combine like terms: -1 + -23 = -24
6x = -24

Divide each side by '6'.
x = -4

Simplifying
x = -4

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