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

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


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

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

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

Remove parenthesis around (-2 + 3x)
-10 + 5x + -2 + 3x = 10

Reorder the terms:
-10 + -2 + 5x + 3x = 10

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

Combine like terms: 5x + 3x = 8x
-12 + 8x = 10

Solving
-12 + 8x = 10

Solving for variable 'x'.

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

Add '12' to each side of the equation.
-12 + 12 + 8x = 10 + 12

Combine like terms: -12 + 12 = 0
0 + 8x = 10 + 12
8x = 10 + 12

Combine like terms: 10 + 12 = 22
8x = 22

Divide each side by '8'.
x = 2.75

Simplifying
x = 2.75

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