33=0.5(3x-8+7x+4)

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Solution for 33=0.5(3x-8+7x+4) equation:


Simplifying
33 = 0.5(3x + -8 + 7x + 4)

Reorder the terms:
33 = 0.5(-8 + 4 + 3x + 7x)

Combine like terms: -8 + 4 = -4
33 = 0.5(-4 + 3x + 7x)

Combine like terms: 3x + 7x = 10x
33 = 0.5(-4 + 10x)
33 = (-4 * 0.5 + 10x * 0.5)
33 = (-2 + 5x)

Solving
33 = -2 + 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.
33 + -5x = -2 + 5x + -5x

Combine like terms: 5x + -5x = 0
33 + -5x = -2 + 0
33 + -5x = -2

Add '-33' to each side of the equation.
33 + -33 + -5x = -2 + -33

Combine like terms: 33 + -33 = 0
0 + -5x = -2 + -33
-5x = -2 + -33

Combine like terms: -2 + -33 = -35
-5x = -35

Divide each side by '-5'.
x = 7

Simplifying
x = 7

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