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

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


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

Reorder the terms:
2(5 + 4x) + -3(2x + -7) = 37
(5 * 2 + 4x * 2) + -3(2x + -7) = 37
(10 + 8x) + -3(2x + -7) = 37

Reorder the terms:
10 + 8x + -3(-7 + 2x) = 37
10 + 8x + (-7 * -3 + 2x * -3) = 37
10 + 8x + (21 + -6x) = 37

Reorder the terms:
10 + 21 + 8x + -6x = 37

Combine like terms: 10 + 21 = 31
31 + 8x + -6x = 37

Combine like terms: 8x + -6x = 2x
31 + 2x = 37

Solving
31 + 2x = 37

Solving for variable 'x'.

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

Add '-31' to each side of the equation.
31 + -31 + 2x = 37 + -31

Combine like terms: 31 + -31 = 0
0 + 2x = 37 + -31
2x = 37 + -31

Combine like terms: 37 + -31 = 6
2x = 6

Divide each side by '2'.
x = 3

Simplifying
x = 3

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