3(3x+5)-4(x+7)=72

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Solution for 3(3x+5)-4(x+7)=72 equation:


Simplifying
3(3x + 5) + -4(x + 7) = 72

Reorder the terms:
3(5 + 3x) + -4(x + 7) = 72
(5 * 3 + 3x * 3) + -4(x + 7) = 72
(15 + 9x) + -4(x + 7) = 72

Reorder the terms:
15 + 9x + -4(7 + x) = 72
15 + 9x + (7 * -4 + x * -4) = 72
15 + 9x + (-28 + -4x) = 72

Reorder the terms:
15 + -28 + 9x + -4x = 72

Combine like terms: 15 + -28 = -13
-13 + 9x + -4x = 72

Combine like terms: 9x + -4x = 5x
-13 + 5x = 72

Solving
-13 + 5x = 72

Solving for variable 'x'.

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

Add '13' to each side of the equation.
-13 + 13 + 5x = 72 + 13

Combine like terms: -13 + 13 = 0
0 + 5x = 72 + 13
5x = 72 + 13

Combine like terms: 72 + 13 = 85
5x = 85

Divide each side by '5'.
x = 17

Simplifying
x = 17

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