0.90(x)+0.10(90)=0.80(x+90)

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Solution for 0.90(x)+0.10(90)=0.80(x+90) equation: 


Simplifying
0.90(x) + 0.10(90) = 0.80(x + 90)

Multiply 0.10 * 90
0.90x + 9 = 0.80(x + 90)

Reorder the terms:
9 + 0.90x = 0.80(x + 90)

Reorder the terms:
9 + 0.90x = 0.80(90 + x)
9 + 0.90x = (90 * 0.80 + x * 0.80)
9 + 0.90x = (72 + 0.80x)

Solving
9 + 0.90x = 72 + 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.
9 + 0.90x + -0.80x = 72 + 0.80x + -0.80x

Combine like terms: 0.90x + -0.80x = 0.1x
9 + 0.1x = 72 + 0.80x + -0.80x

Combine like terms: 0.80x + -0.80x = 0.00
9 + 0.1x = 72 + 0.00
9 + 0.1x = 72

Add '-9' to each side of the equation.
9 + -9 + 0.1x = 72 + -9

Combine like terms: 9 + -9 = 0
0 + 0.1x = 72 + -9
0.1x = 72 + -9

Combine like terms: 72 + -9 = 63
0.1x = 63

Divide each side by '0.1'.
x = 630

Simplifying
x = 630

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