2(x-9)=3x-10

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Solution for 2(x-9)=3x-10 equation:


Simplifying
2(x + -9) = 3x + -10

Reorder the terms:
2(-9 + x) = 3x + -10
(-9 * 2 + x * 2) = 3x + -10
(-18 + 2x) = 3x + -10

Reorder the terms:
-18 + 2x = -10 + 3x

Solving
-18 + 2x = -10 + 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.
-18 + 2x + -3x = -10 + 3x + -3x

Combine like terms: 2x + -3x = -1x
-18 + -1x = -10 + 3x + -3x

Combine like terms: 3x + -3x = 0
-18 + -1x = -10 + 0
-18 + -1x = -10

Add '18' to each side of the equation.
-18 + 18 + -1x = -10 + 18

Combine like terms: -18 + 18 = 0
0 + -1x = -10 + 18
-1x = -10 + 18

Combine like terms: -10 + 18 = 8
-1x = 8

Divide each side by '-1'.
x = -8

Simplifying
x = -8

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