.80x+.20(70)=.70(70+x)

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Solution for .80x+.20(70)=.70(70+x) equation: 


Simplifying
0.80x + 0.20(70) = 0.70(70 + x)

Multiply 0.20 * 70
0.80x + 14 = 0.70(70 + x)

Reorder the terms:
14 + 0.80x = 0.70(70 + x)
14 + 0.80x = (70 * 0.70 + x * 0.70)
14 + 0.80x = (49 + 0.70x)

Solving
14 + 0.80x = 49 + 0.70x

Solving for variable 'x'.

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

Add '-0.70x' to each side of the equation.
14 + 0.80x + -0.70x = 49 + 0.70x + -0.70x

Combine like terms: 0.80x + -0.70x = 0.1x
14 + 0.1x = 49 + 0.70x + -0.70x

Combine like terms: 0.70x + -0.70x = 0.00
14 + 0.1x = 49 + 0.00
14 + 0.1x = 49

Add '-14' to each side of the equation.
14 + -14 + 0.1x = 49 + -14

Combine like terms: 14 + -14 = 0
0 + 0.1x = 49 + -14
0.1x = 49 + -14

Combine like terms: 49 + -14 = 35
0.1x = 35

Divide each side by '0.1'.
x = 350

Simplifying
x = 350

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