-37=3(2x-1)+2(x+7)

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Solution for -37=3(2x-1)+2(x+7) equation:


Simplifying
-37 = 3(2x + -1) + 2(x + 7)

Reorder the terms:
-37 = 3(-1 + 2x) + 2(x + 7)
-37 = (-1 * 3 + 2x * 3) + 2(x + 7)
-37 = (-3 + 6x) + 2(x + 7)

Reorder the terms:
-37 = -3 + 6x + 2(7 + x)
-37 = -3 + 6x + (7 * 2 + x * 2)
-37 = -3 + 6x + (14 + 2x)

Reorder the terms:
-37 = -3 + 14 + 6x + 2x

Combine like terms: -3 + 14 = 11
-37 = 11 + 6x + 2x

Combine like terms: 6x + 2x = 8x
-37 = 11 + 8x

Solving
-37 = 11 + 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.
-37 + -8x = 11 + 8x + -8x

Combine like terms: 8x + -8x = 0
-37 + -8x = 11 + 0
-37 + -8x = 11

Add '37' to each side of the equation.
-37 + 37 + -8x = 11 + 37

Combine like terms: -37 + 37 = 0
0 + -8x = 11 + 37
-8x = 11 + 37

Combine like terms: 11 + 37 = 48
-8x = 48

Divide each side by '-8'.
x = -6

Simplifying
x = -6

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