37=7(4x+7)-8(7x+5)

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Solution for 37=7(4x+7)-8(7x+5) equation:


Simplifying
37 = 7(4x + 7) + -8(7x + 5)

Reorder the terms:
37 = 7(7 + 4x) + -8(7x + 5)
37 = (7 * 7 + 4x * 7) + -8(7x + 5)
37 = (49 + 28x) + -8(7x + 5)

Reorder the terms:
37 = 49 + 28x + -8(5 + 7x)
37 = 49 + 28x + (5 * -8 + 7x * -8)
37 = 49 + 28x + (-40 + -56x)

Reorder the terms:
37 = 49 + -40 + 28x + -56x

Combine like terms: 49 + -40 = 9
37 = 9 + 28x + -56x

Combine like terms: 28x + -56x = -28x
37 = 9 + -28x

Solving
37 = 9 + -28x

Solving for variable 'x'.

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

Add '28x' to each side of the equation.
37 + 28x = 9 + -28x + 28x

Combine like terms: -28x + 28x = 0
37 + 28x = 9 + 0
37 + 28x = 9

Add '-37' to each side of the equation.
37 + -37 + 28x = 9 + -37

Combine like terms: 37 + -37 = 0
0 + 28x = 9 + -37
28x = 9 + -37

Combine like terms: 9 + -37 = -28
28x = -28

Divide each side by '28'.
x = -1

Simplifying
x = -1

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