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

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


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

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

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

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

Combine like terms: 2 + -15 = -13
-13 + 2x + 3x = 3x + -7

Combine like terms: 2x + 3x = 5x
-13 + 5x = 3x + -7

Reorder the terms:
-13 + 5x = -7 + 3x

Solving
-13 + 5x = -7 + 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.
-13 + 5x + -3x = -7 + 3x + -3x

Combine like terms: 5x + -3x = 2x
-13 + 2x = -7 + 3x + -3x

Combine like terms: 3x + -3x = 0
-13 + 2x = -7 + 0
-13 + 2x = -7

Add '13' to each side of the equation.
-13 + 13 + 2x = -7 + 13

Combine like terms: -13 + 13 = 0
0 + 2x = -7 + 13
2x = -7 + 13

Combine like terms: -7 + 13 = 6
2x = 6

Divide each side by '2'.
x = 3

Simplifying
x = 3

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