3(x+1)+9=2(x+1)+9x

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Solution for 3(x+1)+9=2(x+1)+9x equation:


Simplifying
3(x + 1) + 9 = 2(x + 1) + 9x

Reorder the terms:
3(1 + x) + 9 = 2(x + 1) + 9x
(1 * 3 + x * 3) + 9 = 2(x + 1) + 9x
(3 + 3x) + 9 = 2(x + 1) + 9x

Reorder the terms:
3 + 9 + 3x = 2(x + 1) + 9x

Combine like terms: 3 + 9 = 12
12 + 3x = 2(x + 1) + 9x

Reorder the terms:
12 + 3x = 2(1 + x) + 9x
12 + 3x = (1 * 2 + x * 2) + 9x
12 + 3x = (2 + 2x) + 9x

Combine like terms: 2x + 9x = 11x
12 + 3x = 2 + 11x

Solving
12 + 3x = 2 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
12 + 3x + -11x = 2 + 11x + -11x

Combine like terms: 3x + -11x = -8x
12 + -8x = 2 + 11x + -11x

Combine like terms: 11x + -11x = 0
12 + -8x = 2 + 0
12 + -8x = 2

Add '-12' to each side of the equation.
12 + -12 + -8x = 2 + -12

Combine like terms: 12 + -12 = 0
0 + -8x = 2 + -12
-8x = 2 + -12

Combine like terms: 2 + -12 = -10
-8x = -10

Divide each side by '-8'.
x = 1.25

Simplifying
x = 1.25

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