.70x+0.10(100)=.60(x+100)

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Solution for .70x+0.10(100)=.60(x+100) equation: 


Simplifying
0.70x + 0.10(100) = 0.60(x + 100)

Multiply 0.10 * 100
0.70x + 10 = 0.60(x + 100)

Reorder the terms:
10 + 0.70x = 0.60(x + 100)

Reorder the terms:
10 + 0.70x = 0.60(100 + x)
10 + 0.70x = (100 * 0.60 + x * 0.60)
10 + 0.70x = (60 + 0.60x)

Solving
10 + 0.70x = 60 + 0.60x

Solving for variable 'x'.

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

Add '-0.60x' to each side of the equation.
10 + 0.70x + -0.60x = 60 + 0.60x + -0.60x

Combine like terms: 0.70x + -0.60x = 0.1x
10 + 0.1x = 60 + 0.60x + -0.60x

Combine like terms: 0.60x + -0.60x = 0.00
10 + 0.1x = 60 + 0.00
10 + 0.1x = 60

Add '-10' to each side of the equation.
10 + -10 + 0.1x = 60 + -10

Combine like terms: 10 + -10 = 0
0 + 0.1x = 60 + -10
0.1x = 60 + -10

Combine like terms: 60 + -10 = 50
0.1x = 50

Divide each side by '0.1'.
x = 500

Simplifying
x = 500

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