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

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


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

Reorder the terms:
-5(x + -2(-3 + 2x)) + 1 = 2x + -3
-5(x + (-3 * -2 + 2x * -2)) + 1 = 2x + -3
-5(x + (6 + -4x)) + 1 = 2x + -3

Reorder the terms:
-5(6 + x + -4x) + 1 = 2x + -3

Combine like terms: x + -4x = -3x
-5(6 + -3x) + 1 = 2x + -3
(6 * -5 + -3x * -5) + 1 = 2x + -3
(-30 + 15x) + 1 = 2x + -3

Reorder the terms:
-30 + 1 + 15x = 2x + -3

Combine like terms: -30 + 1 = -29
-29 + 15x = 2x + -3

Reorder the terms:
-29 + 15x = -3 + 2x

Solving
-29 + 15x = -3 + 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.
-29 + 15x + -2x = -3 + 2x + -2x

Combine like terms: 15x + -2x = 13x
-29 + 13x = -3 + 2x + -2x

Combine like terms: 2x + -2x = 0
-29 + 13x = -3 + 0
-29 + 13x = -3

Add '29' to each side of the equation.
-29 + 29 + 13x = -3 + 29

Combine like terms: -29 + 29 = 0
0 + 13x = -3 + 29
13x = -3 + 29

Combine like terms: -3 + 29 = 26
13x = 26

Divide each side by '13'.
x = 2

Simplifying
x = 2

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