.70x+.25(70)=.6(x+70)

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Solution for .70x+.25(70)=.6(x+70) equation:


Simplifying
0.70x + 0.25(70) = 0.6(x + 70)

Multiply 0.25 * 70
0.70x + 17.5 = 0.6(x + 70)

Reorder the terms:
17.5 + 0.70x = 0.6(x + 70)

Reorder the terms:
17.5 + 0.70x = 0.6(70 + x)
17.5 + 0.70x = (70 * 0.6 + x * 0.6)
17.5 + 0.70x = (42 + 0.6x)

Solving
17.5 + 0.70x = 42 + 0.6x

Solving for variable 'x'.

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

Add '-0.6x' to each side of the equation.
17.5 + 0.70x + -0.6x = 42 + 0.6x + -0.6x

Combine like terms: 0.70x + -0.6x = 0.1x
17.5 + 0.1x = 42 + 0.6x + -0.6x

Combine like terms: 0.6x + -0.6x = 0.0
17.5 + 0.1x = 42 + 0.0
17.5 + 0.1x = 42

Add '-17.5' to each side of the equation.
17.5 + -17.5 + 0.1x = 42 + -17.5

Combine like terms: 17.5 + -17.5 = 0.0
0.0 + 0.1x = 42 + -17.5
0.1x = 42 + -17.5

Combine like terms: 42 + -17.5 = 24.5
0.1x = 24.5

Divide each side by '0.1'.
x = 245

Simplifying
x = 245

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