5(x+4)+3(-x+6)=10

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Solution for 5(x+4)+3(-x+6)=10 equation: 


Simplifying
5(x + 4) + 3(-1x + 6) = 10

Reorder the terms:
5(4 + x) + 3(-1x + 6) = 10
(4 * 5 + x * 5) + 3(-1x + 6) = 10
(20 + 5x) + 3(-1x + 6) = 10

Reorder the terms:
20 + 5x + 3(6 + -1x) = 10
20 + 5x + (6 * 3 + -1x * 3) = 10
20 + 5x + (18 + -3x) = 10

Reorder the terms:
20 + 18 + 5x + -3x = 10

Combine like terms: 20 + 18 = 38
38 + 5x + -3x = 10

Combine like terms: 5x + -3x = 2x
38 + 2x = 10

Solving
38 + 2x = 10

Solving for variable 'x'.

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

Add '-38' to each side of the equation.
38 + -38 + 2x = 10 + -38

Combine like terms: 38 + -38 = 0
0 + 2x = 10 + -38
2x = 10 + -38

Combine like terms: 10 + -38 = -28
2x = -28

Divide each side by '2'.
x = -14

Simplifying
x = -14

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