4x+3=.5(170-5x+8)

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Solution for 4x+3=.5(170-5x+8) equation:


Simplifying
4x + 3 = 0.5(170 + -5x + 8)

Reorder the terms:
3 + 4x = 0.5(170 + -5x + 8)

Reorder the terms:
3 + 4x = 0.5(170 + 8 + -5x)

Combine like terms: 170 + 8 = 178
3 + 4x = 0.5(178 + -5x)
3 + 4x = (178 * 0.5 + -5x * 0.5)
3 + 4x = (89 + -2.5x)

Solving
3 + 4x = 89 + -2.5x

Solving for variable 'x'.

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

Add '2.5x' to each side of the equation.
3 + 4x + 2.5x = 89 + -2.5x + 2.5x

Combine like terms: 4x + 2.5x = 6.5x
3 + 6.5x = 89 + -2.5x + 2.5x

Combine like terms: -2.5x + 2.5x = 0.0
3 + 6.5x = 89 + 0.0
3 + 6.5x = 89

Add '-3' to each side of the equation.
3 + -3 + 6.5x = 89 + -3

Combine like terms: 3 + -3 = 0
0 + 6.5x = 89 + -3
6.5x = 89 + -3

Combine like terms: 89 + -3 = 86
6.5x = 86

Divide each side by '6.5'.
x = 13.23076923

Simplifying
x = 13.23076923

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