2(x+4)+3(x-10)=8

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Solution for 2(x+4)+3(x-10)=8 equation:


Simplifying
2(x + 4) + 3(x + -10) = 8

Reorder the terms:
2(4 + x) + 3(x + -10) = 8
(4 * 2 + x * 2) + 3(x + -10) = 8
(8 + 2x) + 3(x + -10) = 8

Reorder the terms:
8 + 2x + 3(-10 + x) = 8
8 + 2x + (-10 * 3 + x * 3) = 8
8 + 2x + (-30 + 3x) = 8

Reorder the terms:
8 + -30 + 2x + 3x = 8

Combine like terms: 8 + -30 = -22
-22 + 2x + 3x = 8

Combine like terms: 2x + 3x = 5x
-22 + 5x = 8

Solving
-22 + 5x = 8

Solving for variable 'x'.

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

Add '22' to each side of the equation.
-22 + 22 + 5x = 8 + 22

Combine like terms: -22 + 22 = 0
0 + 5x = 8 + 22
5x = 8 + 22

Combine like terms: 8 + 22 = 30
5x = 30

Divide each side by '5'.
x = 6

Simplifying
x = 6

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