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

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


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

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

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

Combine like terms: 21 + -5 = 16
16 + 3x = 2(x + -5) + 7

Reorder the terms:
16 + 3x = 2(-5 + x) + 7
16 + 3x = (-5 * 2 + x * 2) + 7
16 + 3x = (-10 + 2x) + 7

Reorder the terms:
16 + 3x = -10 + 7 + 2x

Combine like terms: -10 + 7 = -3
16 + 3x = -3 + 2x

Solving
16 + 3x = -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.
16 + 3x + -2x = -3 + 2x + -2x

Combine like terms: 3x + -2x = 1x
16 + 1x = -3 + 2x + -2x

Combine like terms: 2x + -2x = 0
16 + 1x = -3 + 0
16 + 1x = -3

Add '-16' to each side of the equation.
16 + -16 + 1x = -3 + -16

Combine like terms: 16 + -16 = 0
0 + 1x = -3 + -16
1x = -3 + -16

Combine like terms: -3 + -16 = -19
1x = -19

Divide each side by '1'.
x = -19

Simplifying
x = -19

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