3(4x+5)-5(2x-7)=2(6+1)

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Solution for 3(4x+5)-5(2x-7)=2(6+1) equation: 


Simplifying
3(4x + 5) + -5(2x + -7) = 2(6 + 1)

Reorder the terms:
3(5 + 4x) + -5(2x + -7) = 2(6 + 1)
(5 * 3 + 4x * 3) + -5(2x + -7) = 2(6 + 1)
(15 + 12x) + -5(2x + -7) = 2(6 + 1)

Reorder the terms:
15 + 12x + -5(-7 + 2x) = 2(6 + 1)
15 + 12x + (-7 * -5 + 2x * -5) = 2(6 + 1)
15 + 12x + (35 + -10x) = 2(6 + 1)

Reorder the terms:
15 + 35 + 12x + -10x = 2(6 + 1)

Combine like terms: 15 + 35 = 50
50 + 12x + -10x = 2(6 + 1)

Combine like terms: 12x + -10x = 2x
50 + 2x = 2(6 + 1)

Combine like terms: 6 + 1 = 7
50 + 2x = 2(7)

Multiply 2 * 7
50 + 2x = 14

Solving
50 + 2x = 14

Solving for variable 'x'.

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

Add '-50' to each side of the equation.
50 + -50 + 2x = 14 + -50

Combine like terms: 50 + -50 = 0
0 + 2x = 14 + -50
2x = 14 + -50

Combine like terms: 14 + -50 = -36
2x = -36

Divide each side by '2'.
x = -18

Simplifying
x = -18

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