2x-5(x-3)=8+3x-7

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Solution for 2x-5(x-3)=8+3x-7 equation: 


Simplifying
2x + -5(x + -3) = 8 + 3x + -7

Reorder the terms:
2x + -5(-3 + x) = 8 + 3x + -7
2x + (-3 * -5 + x * -5) = 8 + 3x + -7
2x + (15 + -5x) = 8 + 3x + -7

Reorder the terms:
15 + 2x + -5x = 8 + 3x + -7

Combine like terms: 2x + -5x = -3x
15 + -3x = 8 + 3x + -7

Reorder the terms:
15 + -3x = 8 + -7 + 3x

Combine like terms: 8 + -7 = 1
15 + -3x = 1 + 3x

Solving
15 + -3x = 1 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
15 + -3x + -3x = 1 + 3x + -3x

Combine like terms: -3x + -3x = -6x
15 + -6x = 1 + 3x + -3x

Combine like terms: 3x + -3x = 0
15 + -6x = 1 + 0
15 + -6x = 1

Add '-15' to each side of the equation.
15 + -15 + -6x = 1 + -15

Combine like terms: 15 + -15 = 0
0 + -6x = 1 + -15
-6x = 1 + -15

Combine like terms: 1 + -15 = -14
-6x = -14

Divide each side by '-6'.
x = 2.333333333

Simplifying
x = 2.333333333

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