10=0.5(3x-1+7x+1)

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Solution for 10=0.5(3x-1+7x+1) equation:


Simplifying
10 = 0.5(3x + -1 + 7x + 1)

Reorder the terms:
10 = 0.5(-1 + 1 + 3x + 7x)

Combine like terms: -1 + 1 = 0
10 = 0.5(0 + 3x + 7x)
10 = 0.5(3x + 7x)

Combine like terms: 3x + 7x = 10x
10 = 0.5(10x)

Remove parenthesis around (10x)
10 = 0.5 * 10x

Multiply 0.5 * 10
10 = 5x

Solving
10 = 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
10 + -5x = 5x + -5x

Combine like terms: 5x + -5x = 0
10 + -5x = 0

Add '-10' to each side of the equation.
10 + -10 + -5x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -5x = 0 + -10
-5x = 0 + -10

Combine like terms: 0 + -10 = -10
-5x = -10

Divide each side by '-5'.
x = 2

Simplifying
x = 2

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