2(2x+3)-7x=23-5(x-3x)

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Solution for 2(2x+3)-7x=23-5(x-3x) equation:


Simplifying
2(2x + 3) + -7x = 23 + -5(x + -3x)

Reorder the terms:
2(3 + 2x) + -7x = 23 + -5(x + -3x)
(3 * 2 + 2x * 2) + -7x = 23 + -5(x + -3x)
(6 + 4x) + -7x = 23 + -5(x + -3x)

Combine like terms: 4x + -7x = -3x
6 + -3x = 23 + -5(x + -3x)

Combine like terms: x + -3x = -2x
6 + -3x = 23 + -5(-2x)

Remove parenthesis around (-2x)
6 + -3x = 23 + -5 * -2x

Multiply -5 * -2
6 + -3x = 23 + 10x

Solving
6 + -3x = 23 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
6 + -3x + -10x = 23 + 10x + -10x

Combine like terms: -3x + -10x = -13x
6 + -13x = 23 + 10x + -10x

Combine like terms: 10x + -10x = 0
6 + -13x = 23 + 0
6 + -13x = 23

Add '-6' to each side of the equation.
6 + -6 + -13x = 23 + -6

Combine like terms: 6 + -6 = 0
0 + -13x = 23 + -6
-13x = 23 + -6

Combine like terms: 23 + -6 = 17
-13x = 17

Divide each side by '-13'.
x = -1.307692308

Simplifying
x = -1.307692308

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