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

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Solution for 3(x-5)+1=2(x+1)-7 equation: 


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

Reorder the terms:
3(-5 + x) + 1 = 2(x + 1) + -7
(-5 * 3 + x * 3) + 1 = 2(x + 1) + -7
(-15 + 3x) + 1 = 2(x + 1) + -7

Reorder the terms:
-15 + 1 + 3x = 2(x + 1) + -7

Combine like terms: -15 + 1 = -14
-14 + 3x = 2(x + 1) + -7

Reorder the terms:
-14 + 3x = 2(1 + x) + -7
-14 + 3x = (1 * 2 + x * 2) + -7
-14 + 3x = (2 + 2x) + -7

Reorder the terms:
-14 + 3x = 2 + -7 + 2x

Combine like terms: 2 + -7 = -5
-14 + 3x = -5 + 2x

Solving
-14 + 3x = -5 + 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.
-14 + 3x + -2x = -5 + 2x + -2x

Combine like terms: 3x + -2x = 1x
-14 + 1x = -5 + 2x + -2x

Combine like terms: 2x + -2x = 0
-14 + 1x = -5 + 0
-14 + 1x = -5

Add '14' to each side of the equation.
-14 + 14 + 1x = -5 + 14

Combine like terms: -14 + 14 = 0
0 + 1x = -5 + 14
1x = -5 + 14

Combine like terms: -5 + 14 = 9
1x = 9

Divide each side by '1'.
x = 9

Simplifying
x = 9

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