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

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


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

Reorder the terms:
3(-6 + x) + 5(4 + x) = 10
(-6 * 3 + x * 3) + 5(4 + x) = 10
(-18 + 3x) + 5(4 + x) = 10
-18 + 3x + (4 * 5 + x * 5) = 10
-18 + 3x + (20 + 5x) = 10

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

Combine like terms: -18 + 20 = 2
2 + 3x + 5x = 10

Combine like terms: 3x + 5x = 8x
2 + 8x = 10

Solving
2 + 8x = 10

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + 8x = 10 + -2

Combine like terms: 2 + -2 = 0
0 + 8x = 10 + -2
8x = 10 + -2

Combine like terms: 10 + -2 = 8
8x = 8

Divide each side by '8'.
x = 1

Simplifying
x = 1

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