5-8(x-7)=37-2x

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Solution for 5-8(x-7)=37-2x equation:


Simplifying
5 + -8(x + -7) = 37 + -2x

Reorder the terms:
5 + -8(-7 + x) = 37 + -2x
5 + (-7 * -8 + x * -8) = 37 + -2x
5 + (56 + -8x) = 37 + -2x

Combine like terms: 5 + 56 = 61
61 + -8x = 37 + -2x

Solving
61 + -8x = 37 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
61 + -8x + 2x = 37 + -2x + 2x

Combine like terms: -8x + 2x = -6x
61 + -6x = 37 + -2x + 2x

Combine like terms: -2x + 2x = 0
61 + -6x = 37 + 0
61 + -6x = 37

Add '-61' to each side of the equation.
61 + -61 + -6x = 37 + -61

Combine like terms: 61 + -61 = 0
0 + -6x = 37 + -61
-6x = 37 + -61

Combine like terms: 37 + -61 = -24
-6x = -24

Divide each side by '-6'.
x = 4

Simplifying
x = 4

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