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

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


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

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

Reorder the terms:
-2 + 5 + 2x = 3x + 7

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

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

Solving
3 + 2x = 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 + 2x + -3x = 7 + 3x + -3x

Combine like terms: 2x + -3x = -1x
3 + -1x = 7 + 3x + -3x

Combine like terms: 3x + -3x = 0
3 + -1x = 7 + 0
3 + -1x = 7

Add '-3' to each side of the equation.
3 + -3 + -1x = 7 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 7 + -3
-1x = 7 + -3

Combine like terms: 7 + -3 = 4
-1x = 4

Divide each side by '-1'.
x = -4

Simplifying
x = -4

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