14.5=13x+16(1-x)

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Solution for 14.5=13x+16(1-x) equation:


Simplifying
14.5 = 13x + 16(1 + -1x)
14.5 = 13x + (1 * 16 + -1x * 16)
14.5 = 13x + (16 + -16x)

Reorder the terms:
14.5 = 16 + 13x + -16x

Combine like terms: 13x + -16x = -3x
14.5 = 16 + -3x

Solving
14.5 = 16 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
14.5 + 3x = 16 + -3x + 3x

Combine like terms: -3x + 3x = 0
14.5 + 3x = 16 + 0
14.5 + 3x = 16

Add '-14.5' to each side of the equation.
14.5 + -14.5 + 3x = 16 + -14.5

Combine like terms: 14.5 + -14.5 = 0.0
0.0 + 3x = 16 + -14.5
3x = 16 + -14.5

Combine like terms: 16 + -14.5 = 1.5
3x = 1.5

Divide each side by '3'.
x = 0.5

Simplifying
x = 0.5

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