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

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


Simplifying
(2x + -7) + -1(3x + 5) = 5(x + -3)

Reorder the terms:
(-7 + 2x) + -1(3x + 5) = 5(x + -3)

Remove parenthesis around (-7 + 2x)
-7 + 2x + -1(3x + 5) = 5(x + -3)

Reorder the terms:
-7 + 2x + -1(5 + 3x) = 5(x + -3)
-7 + 2x + (5 * -1 + 3x * -1) = 5(x + -3)
-7 + 2x + (-5 + -3x) = 5(x + -3)

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

Combine like terms: -7 + -5 = -12
-12 + 2x + -3x = 5(x + -3)

Combine like terms: 2x + -3x = -1x
-12 + -1x = 5(x + -3)

Reorder the terms:
-12 + -1x = 5(-3 + x)
-12 + -1x = (-3 * 5 + x * 5)
-12 + -1x = (-15 + 5x)

Solving
-12 + -1x = -15 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-12 + -1x + -5x = -15 + 5x + -5x

Combine like terms: -1x + -5x = -6x
-12 + -6x = -15 + 5x + -5x

Combine like terms: 5x + -5x = 0
-12 + -6x = -15 + 0
-12 + -6x = -15

Add '12' to each side of the equation.
-12 + 12 + -6x = -15 + 12

Combine like terms: -12 + 12 = 0
0 + -6x = -15 + 12
-6x = -15 + 12

Combine like terms: -15 + 12 = -3
-6x = -3

Divide each side by '-6'.
x = 0.5

Simplifying
x = 0.5

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