3x-7=2(x-9)

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Solution for 3x-7=2(x-9) equation:


Simplifying
3x + -7 = 2(x + -9)

Reorder the terms:
-7 + 3x = 2(x + -9)

Reorder the terms:
-7 + 3x = 2(-9 + x)
-7 + 3x = (-9 * 2 + x * 2)
-7 + 3x = (-18 + 2x)

Solving
-7 + 3x = -18 + 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.
-7 + 3x + -2x = -18 + 2x + -2x

Combine like terms: 3x + -2x = 1x
-7 + 1x = -18 + 2x + -2x

Combine like terms: 2x + -2x = 0
-7 + 1x = -18 + 0
-7 + 1x = -18

Add '7' to each side of the equation.
-7 + 7 + 1x = -18 + 7

Combine like terms: -7 + 7 = 0
0 + 1x = -18 + 7
1x = -18 + 7

Combine like terms: -18 + 7 = -11
1x = -11

Divide each side by '1'.
x = -11

Simplifying
x = -11

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