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

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


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

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

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

Combine like terms: -7 + -2 = -9
-9 + 3x + 2x = 2x + -3

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

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

Solving
-9 + 5x = -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.
-9 + 5x + -2x = -3 + 2x + -2x

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

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

Add '9' to each side of the equation.
-9 + 9 + 3x = -3 + 9

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

Combine like terms: -3 + 9 = 6
3x = 6

Divide each side by '3'.
x = 2

Simplifying
x = 2

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