3(4x+3)+10=11x-14

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Solution for 3(4x+3)+10=11x-14 equation:


Simplifying
3(4x + 3) + 10 = 11x + -14

Reorder the terms:
3(3 + 4x) + 10 = 11x + -14
(3 * 3 + 4x * 3) + 10 = 11x + -14
(9 + 12x) + 10 = 11x + -14

Reorder the terms:
9 + 10 + 12x = 11x + -14

Combine like terms: 9 + 10 = 19
19 + 12x = 11x + -14

Reorder the terms:
19 + 12x = -14 + 11x

Solving
19 + 12x = -14 + 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.
19 + 12x + -11x = -14 + 11x + -11x

Combine like terms: 12x + -11x = 1x
19 + 1x = -14 + 11x + -11x

Combine like terms: 11x + -11x = 0
19 + 1x = -14 + 0
19 + 1x = -14

Add '-19' to each side of the equation.
19 + -19 + 1x = -14 + -19

Combine like terms: 19 + -19 = 0
0 + 1x = -14 + -19
1x = -14 + -19

Combine like terms: -14 + -19 = -33
1x = -33

Divide each side by '1'.
x = -33

Simplifying
x = -33

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