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

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


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

Reorder the terms:
5(2 + x) + 3(x + -7) = 61
(2 * 5 + x * 5) + 3(x + -7) = 61
(10 + 5x) + 3(x + -7) = 61

Reorder the terms:
10 + 5x + 3(-7 + x) = 61
10 + 5x + (-7 * 3 + x * 3) = 61
10 + 5x + (-21 + 3x) = 61

Reorder the terms:
10 + -21 + 5x + 3x = 61

Combine like terms: 10 + -21 = -11
-11 + 5x + 3x = 61

Combine like terms: 5x + 3x = 8x
-11 + 8x = 61

Solving
-11 + 8x = 61

Solving for variable 'x'.

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

Add '11' to each side of the equation.
-11 + 11 + 8x = 61 + 11

Combine like terms: -11 + 11 = 0
0 + 8x = 61 + 11
8x = 61 + 11

Combine like terms: 61 + 11 = 72
8x = 72

Divide each side by '8'.
x = 9

Simplifying
x = 9

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