3(x+8)+2(5x-27)=22

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Solution for 3(x+8)+2(5x-27)=22 equation:


Simplifying
3(x + 8) + 2(5x + -27) = 22

Reorder the terms:
3(8 + x) + 2(5x + -27) = 22
(8 * 3 + x * 3) + 2(5x + -27) = 22
(24 + 3x) + 2(5x + -27) = 22

Reorder the terms:
24 + 3x + 2(-27 + 5x) = 22
24 + 3x + (-27 * 2 + 5x * 2) = 22
24 + 3x + (-54 + 10x) = 22

Reorder the terms:
24 + -54 + 3x + 10x = 22

Combine like terms: 24 + -54 = -30
-30 + 3x + 10x = 22

Combine like terms: 3x + 10x = 13x
-30 + 13x = 22

Solving
-30 + 13x = 22

Solving for variable 'x'.

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

Add '30' to each side of the equation.
-30 + 30 + 13x = 22 + 30

Combine like terms: -30 + 30 = 0
0 + 13x = 22 + 30
13x = 22 + 30

Combine like terms: 22 + 30 = 52
13x = 52

Divide each side by '13'.
x = 4

Simplifying
x = 4

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