.60(20)+1.00x=.80(20+x)

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Solution for .60(20)+1.00x=.80(20+x) equation:


Simplifying
0.60(20) + 1.00x = 0.80(20 + x)

Multiply 0.60 * 20
12 + 1.00x = 0.80(20 + x)
12 + 1.00x = (20 * 0.80 + x * 0.80)
12 + 1.00x = (16 + 0.80x)

Solving
12 + 1.00x = 16 + 0.80x

Solving for variable 'x'.

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

Add '-0.80x' to each side of the equation.
12 + 1.00x + -0.80x = 16 + 0.80x + -0.80x

Combine like terms: 1.00x + -0.80x = 0.2x
12 + 0.2x = 16 + 0.80x + -0.80x

Combine like terms: 0.80x + -0.80x = 0.00
12 + 0.2x = 16 + 0.00
12 + 0.2x = 16

Add '-12' to each side of the equation.
12 + -12 + 0.2x = 16 + -12

Combine like terms: 12 + -12 = 0
0 + 0.2x = 16 + -12
0.2x = 16 + -12

Combine like terms: 16 + -12 = 4
0.2x = 4

Divide each side by '0.2'.
x = 20

Simplifying
x = 20

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