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

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


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

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

Reorder the terms:
-10 + 10x = 3(5 + 3x) + -5
-10 + 10x = (5 * 3 + 3x * 3) + -5
-10 + 10x = (15 + 9x) + -5

Reorder the terms:
-10 + 10x = 15 + -5 + 9x

Combine like terms: 15 + -5 = 10
-10 + 10x = 10 + 9x

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

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

Combine like terms: 9x + -9x = 0
-10 + 1x = 10 + 0
-10 + 1x = 10

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

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

Combine like terms: 10 + 10 = 20
1x = 20

Divide each side by '1'.
x = 20

Simplifying
x = 20

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