3(5x+8)-2(x+7)=36

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Solution for 3(5x+8)-2(x+7)=36 equation:


Simplifying
3(5x + 8) + -2(x + 7) = 36

Reorder the terms:
3(8 + 5x) + -2(x + 7) = 36
(8 * 3 + 5x * 3) + -2(x + 7) = 36
(24 + 15x) + -2(x + 7) = 36

Reorder the terms:
24 + 15x + -2(7 + x) = 36
24 + 15x + (7 * -2 + x * -2) = 36
24 + 15x + (-14 + -2x) = 36

Reorder the terms:
24 + -14 + 15x + -2x = 36

Combine like terms: 24 + -14 = 10
10 + 15x + -2x = 36

Combine like terms: 15x + -2x = 13x
10 + 13x = 36

Solving
10 + 13x = 36

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + 13x = 36 + -10

Combine like terms: 10 + -10 = 0
0 + 13x = 36 + -10
13x = 36 + -10

Combine like terms: 36 + -10 = 26
13x = 26

Divide each side by '13'.
x = 2

Simplifying
x = 2

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