61=(3x+7)+(5x-2)

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Solution for 61=(3x+7)+(5x-2) equation:


Simplifying
61 = (3x + 7) + (5x + -2)

Reorder the terms:
61 = (7 + 3x) + (5x + -2)

Remove parenthesis around (7 + 3x)
61 = 7 + 3x + (5x + -2)

Reorder the terms:
61 = 7 + 3x + (-2 + 5x)

Remove parenthesis around (-2 + 5x)
61 = 7 + 3x + -2 + 5x

Reorder the terms:
61 = 7 + -2 + 3x + 5x

Combine like terms: 7 + -2 = 5
61 = 5 + 3x + 5x

Combine like terms: 3x + 5x = 8x
61 = 5 + 8x

Solving
61 = 5 + 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.
61 + -8x = 5 + 8x + -8x

Combine like terms: 8x + -8x = 0
61 + -8x = 5 + 0
61 + -8x = 5

Add '-61' to each side of the equation.
61 + -61 + -8x = 5 + -61

Combine like terms: 61 + -61 = 0
0 + -8x = 5 + -61
-8x = 5 + -61

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

Divide each side by '-8'.
x = 7

Simplifying
x = 7

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