5(x-2)-3(x-4)=10

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Solution for 5(x-2)-3(x-4)=10 equation: 


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

Reorder the terms:
5(-2 + x) + -3(x + -4) = 10
(-2 * 5 + x * 5) + -3(x + -4) = 10
(-10 + 5x) + -3(x + -4) = 10

Reorder the terms:
-10 + 5x + -3(-4 + x) = 10
-10 + 5x + (-4 * -3 + x * -3) = 10
-10 + 5x + (12 + -3x) = 10

Reorder the terms:
-10 + 12 + 5x + -3x = 10

Combine like terms: -10 + 12 = 2
2 + 5x + -3x = 10

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

Solving
2 + 2x = 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 + 2x = 10 + -2

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

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

Divide each side by '2'.
x = 4

Simplifying
x = 4

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