9(x-2)=5x+10

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


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

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

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

Solving
-18 + 9x = 10 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-18 + 9x + -5x = 10 + 5x + -5x

Combine like terms: 9x + -5x = 4x
-18 + 4x = 10 + 5x + -5x

Combine like terms: 5x + -5x = 0
-18 + 4x = 10 + 0
-18 + 4x = 10

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

Combine like terms: -18 + 18 = 0
0 + 4x = 10 + 18
4x = 10 + 18

Combine like terms: 10 + 18 = 28
4x = 28

Divide each side by '4'.
x = 7

Simplifying
x = 7

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