3(x+7)+2(x-3)=100

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Solution for 3(x+7)+2(x-3)=100 equation: 


Simplifying
3(x + 7) + 2(x + -3) = 100

Reorder the terms:
3(7 + x) + 2(x + -3) = 100
(7 * 3 + x * 3) + 2(x + -3) = 100
(21 + 3x) + 2(x + -3) = 100

Reorder the terms:
21 + 3x + 2(-3 + x) = 100
21 + 3x + (-3 * 2 + x * 2) = 100
21 + 3x + (-6 + 2x) = 100

Reorder the terms:
21 + -6 + 3x + 2x = 100

Combine like terms: 21 + -6 = 15
15 + 3x + 2x = 100

Combine like terms: 3x + 2x = 5x
15 + 5x = 100

Solving
15 + 5x = 100

Solving for variable 'x'.

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

Add '-15' to each side of the equation.
15 + -15 + 5x = 100 + -15

Combine like terms: 15 + -15 = 0
0 + 5x = 100 + -15
5x = 100 + -15

Combine like terms: 100 + -15 = 85
5x = 85

Divide each side by '5'.
x = 17

Simplifying
x = 17

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