3(x+4)+5(2x-1)=8x+37

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Solution for 3(x+4)+5(2x-1)=8x+37 equation:


Simplifying
3(x + 4) + 5(2x + -1) = 8x + 37

Reorder the terms:
3(4 + x) + 5(2x + -1) = 8x + 37
(4 * 3 + x * 3) + 5(2x + -1) = 8x + 37
(12 + 3x) + 5(2x + -1) = 8x + 37

Reorder the terms:
12 + 3x + 5(-1 + 2x) = 8x + 37
12 + 3x + (-1 * 5 + 2x * 5) = 8x + 37
12 + 3x + (-5 + 10x) = 8x + 37

Reorder the terms:
12 + -5 + 3x + 10x = 8x + 37

Combine like terms: 12 + -5 = 7
7 + 3x + 10x = 8x + 37

Combine like terms: 3x + 10x = 13x
7 + 13x = 8x + 37

Reorder the terms:
7 + 13x = 37 + 8x

Solving
7 + 13x = 37 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
7 + 13x + -8x = 37 + 8x + -8x

Combine like terms: 13x + -8x = 5x
7 + 5x = 37 + 8x + -8x

Combine like terms: 8x + -8x = 0
7 + 5x = 37 + 0
7 + 5x = 37

Add '-7' to each side of the equation.
7 + -7 + 5x = 37 + -7

Combine like terms: 7 + -7 = 0
0 + 5x = 37 + -7
5x = 37 + -7

Combine like terms: 37 + -7 = 30
5x = 30

Divide each side by '5'.
x = 6

Simplifying
x = 6

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