3(3x-3)+11=10x-5

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Solution for 3(3x-3)+11=10x-5 equation:


Simplifying
3(3x + -3) + 11 = 10x + -5

Reorder the terms:
3(-3 + 3x) + 11 = 10x + -5
(-3 * 3 + 3x * 3) + 11 = 10x + -5
(-9 + 9x) + 11 = 10x + -5

Reorder the terms:
-9 + 11 + 9x = 10x + -5

Combine like terms: -9 + 11 = 2
2 + 9x = 10x + -5

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

Solving
2 + 9x = -5 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
2 + 9x + -10x = -5 + 10x + -10x

Combine like terms: 9x + -10x = -1x
2 + -1x = -5 + 10x + -10x

Combine like terms: 10x + -10x = 0
2 + -1x = -5 + 0
2 + -1x = -5

Add '-2' to each side of the equation.
2 + -2 + -1x = -5 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = -5 + -2
-1x = -5 + -2

Combine like terms: -5 + -2 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7

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