-3(x-5)+6=5(2x+3)-7

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Solution for -3(x-5)+6=5(2x+3)-7 equation:


Simplifying
-3(x + -5) + 6 = 5(2x + 3) + -7

Reorder the terms:
-3(-5 + x) + 6 = 5(2x + 3) + -7
(-5 * -3 + x * -3) + 6 = 5(2x + 3) + -7
(15 + -3x) + 6 = 5(2x + 3) + -7

Reorder the terms:
15 + 6 + -3x = 5(2x + 3) + -7

Combine like terms: 15 + 6 = 21
21 + -3x = 5(2x + 3) + -7

Reorder the terms:
21 + -3x = 5(3 + 2x) + -7
21 + -3x = (3 * 5 + 2x * 5) + -7
21 + -3x = (15 + 10x) + -7

Reorder the terms:
21 + -3x = 15 + -7 + 10x

Combine like terms: 15 + -7 = 8
21 + -3x = 8 + 10x

Solving
21 + -3x = 8 + 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.
21 + -3x + -10x = 8 + 10x + -10x

Combine like terms: -3x + -10x = -13x
21 + -13x = 8 + 10x + -10x

Combine like terms: 10x + -10x = 0
21 + -13x = 8 + 0
21 + -13x = 8

Add '-21' to each side of the equation.
21 + -21 + -13x = 8 + -21

Combine like terms: 21 + -21 = 0
0 + -13x = 8 + -21
-13x = 8 + -21

Combine like terms: 8 + -21 = -13
-13x = -13

Divide each side by '-13'.
x = 1

Simplifying
x = 1

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