.6x+.3(90+x)=.5(90+x)

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Solution for .6x+.3(90+x)=.5(90+x) equation:


Simplifying
0.6x + 0.3(90 + x) = 0.5(90 + x)
0.6x + (90 * 0.3 + x * 0.3) = 0.5(90 + x)
0.6x + (27 + 0.3x) = 0.5(90 + x)

Reorder the terms:
27 + 0.6x + 0.3x = 0.5(90 + x)

Combine like terms: 0.6x + 0.3x = 0.9x
27 + 0.9x = 0.5(90 + x)
27 + 0.9x = (90 * 0.5 + x * 0.5)
27 + 0.9x = (45 + 0.5x)

Solving
27 + 0.9x = 45 + 0.5x

Solving for variable 'x'.

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

Add '-0.5x' to each side of the equation.
27 + 0.9x + -0.5x = 45 + 0.5x + -0.5x

Combine like terms: 0.9x + -0.5x = 0.4x
27 + 0.4x = 45 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
27 + 0.4x = 45 + 0.0
27 + 0.4x = 45

Add '-27' to each side of the equation.
27 + -27 + 0.4x = 45 + -27

Combine like terms: 27 + -27 = 0
0 + 0.4x = 45 + -27
0.4x = 45 + -27

Combine like terms: 45 + -27 = 18
0.4x = 18

Divide each side by '0.4'.
x = 45

Simplifying
x = 45

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