2(3-4x)+5(6x-7)=37

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Solution for 2(3-4x)+5(6x-7)=37 equation:


Simplifying
2(3 + -4x) + 5(6x + -7) = 37
(3 * 2 + -4x * 2) + 5(6x + -7) = 37
(6 + -8x) + 5(6x + -7) = 37

Reorder the terms:
6 + -8x + 5(-7 + 6x) = 37
6 + -8x + (-7 * 5 + 6x * 5) = 37
6 + -8x + (-35 + 30x) = 37

Reorder the terms:
6 + -35 + -8x + 30x = 37

Combine like terms: 6 + -35 = -29
-29 + -8x + 30x = 37

Combine like terms: -8x + 30x = 22x
-29 + 22x = 37

Solving
-29 + 22x = 37

Solving for variable 'x'.

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

Add '29' to each side of the equation.
-29 + 29 + 22x = 37 + 29

Combine like terms: -29 + 29 = 0
0 + 22x = 37 + 29
22x = 37 + 29

Combine like terms: 37 + 29 = 66
22x = 66

Divide each side by '22'.
x = 3

Simplifying
x = 3

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