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

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


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

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

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

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

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

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

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

Add '3' to each side of the equation.
-3 + 3 + 2x = -7 + 3

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

Combine like terms: -7 + 3 = -4
2x = -4

Divide each side by '2'.
x = -2

Simplifying
x = -2

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