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

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


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

Reorder the terms:
2(-5 + x) + 1 = 3(x + -1) + 5
(-5 * 2 + x * 2) + 1 = 3(x + -1) + 5
(-10 + 2x) + 1 = 3(x + -1) + 5

Reorder the terms:
-10 + 1 + 2x = 3(x + -1) + 5

Combine like terms: -10 + 1 = -9
-9 + 2x = 3(x + -1) + 5

Reorder the terms:
-9 + 2x = 3(-1 + x) + 5
-9 + 2x = (-1 * 3 + x * 3) + 5
-9 + 2x = (-3 + 3x) + 5

Reorder the terms:
-9 + 2x = -3 + 5 + 3x

Combine like terms: -3 + 5 = 2
-9 + 2x = 2 + 3x

Solving
-9 + 2x = 2 + 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.
-9 + 2x + -3x = 2 + 3x + -3x

Combine like terms: 2x + -3x = -1x
-9 + -1x = 2 + 3x + -3x

Combine like terms: 3x + -3x = 0
-9 + -1x = 2 + 0
-9 + -1x = 2

Add '9' to each side of the equation.
-9 + 9 + -1x = 2 + 9

Combine like terms: -9 + 9 = 0
0 + -1x = 2 + 9
-1x = 2 + 9

Combine like terms: 2 + 9 = 11
-1x = 11

Divide each side by '-1'.
x = -11

Simplifying
x = -11

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