10x-3=9(x-2)+5

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Solution for 10x-3=9(x-2)+5 equation:


Simplifying
10x + -3 = 9(x + -2) + 5

Reorder the terms:
-3 + 10x = 9(x + -2) + 5

Reorder the terms:
-3 + 10x = 9(-2 + x) + 5
-3 + 10x = (-2 * 9 + x * 9) + 5
-3 + 10x = (-18 + 9x) + 5

Reorder the terms:
-3 + 10x = -18 + 5 + 9x

Combine like terms: -18 + 5 = -13
-3 + 10x = -13 + 9x

Solving
-3 + 10x = -13 + 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.
-3 + 10x + -9x = -13 + 9x + -9x

Combine like terms: 10x + -9x = 1x
-3 + 1x = -13 + 9x + -9x

Combine like terms: 9x + -9x = 0
-3 + 1x = -13 + 0
-3 + 1x = -13

Add '3' to each side of the equation.
-3 + 3 + 1x = -13 + 3

Combine like terms: -3 + 3 = 0
0 + 1x = -13 + 3
1x = -13 + 3

Combine like terms: -13 + 3 = -10
1x = -10

Divide each side by '1'.
x = -10

Simplifying
x = -10

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