12x+9=2(5x+1)

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Solution for 12x+9=2(5x+1) equation:


Simplifying
12x + 9 = 2(5x + 1)

Reorder the terms:
9 + 12x = 2(5x + 1)

Reorder the terms:
9 + 12x = 2(1 + 5x)
9 + 12x = (1 * 2 + 5x * 2)
9 + 12x = (2 + 10x)

Solving
9 + 12x = 2 + 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.
9 + 12x + -10x = 2 + 10x + -10x

Combine like terms: 12x + -10x = 2x
9 + 2x = 2 + 10x + -10x

Combine like terms: 10x + -10x = 0
9 + 2x = 2 + 0
9 + 2x = 2

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

Combine like terms: 9 + -9 = 0
0 + 2x = 2 + -9
2x = 2 + -9

Combine like terms: 2 + -9 = -7
2x = -7

Divide each side by '2'.
x = -3.5

Simplifying
x = -3.5

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