10x-4=9(x-3)+9

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Solution for 10x-4=9(x-3)+9 equation:


Simplifying
10x + -4 = 9(x + -3) + 9

Reorder the terms:
-4 + 10x = 9(x + -3) + 9

Reorder the terms:
-4 + 10x = 9(-3 + x) + 9
-4 + 10x = (-3 * 9 + x * 9) + 9
-4 + 10x = (-27 + 9x) + 9

Reorder the terms:
-4 + 10x = -27 + 9 + 9x

Combine like terms: -27 + 9 = -18
-4 + 10x = -18 + 9x

Solving
-4 + 10x = -18 + 9x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-9x' to each side of the equation.
-4 + 10x + -9x = -18 + 9x + -9x

Combine like terms: 10x + -9x = 1x
-4 + 1x = -18 + 9x + -9x

Combine like terms: 9x + -9x = 0
-4 + 1x = -18 + 0
-4 + 1x = -18

Add '4' to each side of the equation.
-4 + 4 + 1x = -18 + 4

Combine like terms: -4 + 4 = 0
0 + 1x = -18 + 4
1x = -18 + 4

Combine like terms: -18 + 4 = -14
1x = -14

Divide each side by '1'.
x = -14

Simplifying
x = -14

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