3(4x+3)-2=10x+9

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Solution for 3(4x+3)-2=10x+9 equation:


Simplifying
3(4x + 3) + -2 = 10x + 9

Reorder the terms:
3(3 + 4x) + -2 = 10x + 9
(3 * 3 + 4x * 3) + -2 = 10x + 9
(9 + 12x) + -2 = 10x + 9

Reorder the terms:
9 + -2 + 12x = 10x + 9

Combine like terms: 9 + -2 = 7
7 + 12x = 10x + 9

Reorder the terms:
7 + 12x = 9 + 10x

Solving
7 + 12x = 9 + 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.
7 + 12x + -10x = 9 + 10x + -10x

Combine like terms: 12x + -10x = 2x
7 + 2x = 9 + 10x + -10x

Combine like terms: 10x + -10x = 0
7 + 2x = 9 + 0
7 + 2x = 9

Add '-7' to each side of the equation.
7 + -7 + 2x = 9 + -7

Combine like terms: 7 + -7 = 0
0 + 2x = 9 + -7
2x = 9 + -7

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

Divide each side by '2'.
x = 1

Simplifying
x = 1

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