13=0.5(4x-10+3x+8)

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Solution for 13=0.5(4x-10+3x+8) equation:


Simplifying
13 = 0.5(4x + -10 + 3x + 8)

Reorder the terms:
13 = 0.5(-10 + 8 + 4x + 3x)

Combine like terms: -10 + 8 = -2
13 = 0.5(-2 + 4x + 3x)

Combine like terms: 4x + 3x = 7x
13 = 0.5(-2 + 7x)
13 = (-2 * 0.5 + 7x * 0.5)
13 = (-1 + 3.5x)

Solving
13 = -1 + 3.5x

Solving for variable 'x'.

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

Add '-3.5x' to each side of the equation.
13 + -3.5x = -1 + 3.5x + -3.5x

Combine like terms: 3.5x + -3.5x = 0.0
13 + -3.5x = -1 + 0.0
13 + -3.5x = -1

Add '-13' to each side of the equation.
13 + -13 + -3.5x = -1 + -13

Combine like terms: 13 + -13 = 0
0 + -3.5x = -1 + -13
-3.5x = -1 + -13

Combine like terms: -1 + -13 = -14
-3.5x = -14

Divide each side by '-3.5'.
x = 4

Simplifying
x = 4

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