3x-14=2x-7

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Solution for 3x-14=2x-7 equation:


Simplifying
3x + -14 = 2x + -7

Reorder the terms:
-14 + 3x = 2x + -7

Reorder the terms:
-14 + 3x = -7 + 2x

Solving
-14 + 3x = -7 + 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.
-14 + 3x + -2x = -7 + 2x + -2x

Combine like terms: 3x + -2x = 1x
-14 + 1x = -7 + 2x + -2x

Combine like terms: 2x + -2x = 0
-14 + 1x = -7 + 0
-14 + 1x = -7

Add '14' to each side of the equation.
-14 + 14 + 1x = -7 + 14

Combine like terms: -14 + 14 = 0
0 + 1x = -7 + 14
1x = -7 + 14

Combine like terms: -7 + 14 = 7
1x = 7

Divide each side by '1'.
x = 7

Simplifying
x = 7

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