3(4x+1)-2(5x+6)=

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Solution for 3(4x+1)-2(5x+6)= equation:


Simplifying
3(4x + 1) + -2(5x + 6) = 0

Reorder the terms:
3(1 + 4x) + -2(5x + 6) = 0
(1 * 3 + 4x * 3) + -2(5x + 6) = 0
(3 + 12x) + -2(5x + 6) = 0

Reorder the terms:
3 + 12x + -2(6 + 5x) = 0
3 + 12x + (6 * -2 + 5x * -2) = 0
3 + 12x + (-12 + -10x) = 0

Reorder the terms:
3 + -12 + 12x + -10x = 0

Combine like terms: 3 + -12 = -9
-9 + 12x + -10x = 0

Combine like terms: 12x + -10x = 2x
-9 + 2x = 0

Solving
-9 + 2x = 0

Solving for variable 'x'.

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

Add '9' to each side of the equation.
-9 + 9 + 2x = 0 + 9

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

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

Divide each side by '2'.
x = 4.5

Simplifying
x = 4.5

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