.50x+.20(70)=.40(x+70)

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Solution for .50x+.20(70)=.40(x+70) equation:


Simplifying
0.50x + 0.20(70) = 0.40(x + 70)

Multiply 0.20 * 70
0.50x + 14 = 0.40(x + 70)

Reorder the terms:
14 + 0.50x = 0.40(x + 70)

Reorder the terms:
14 + 0.50x = 0.40(70 + x)
14 + 0.50x = (70 * 0.40 + x * 0.40)
14 + 0.50x = (28 + 0.40x)

Solving
14 + 0.50x = 28 + 0.40x

Solving for variable 'x'.

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

Add '-0.40x' to each side of the equation.
14 + 0.50x + -0.40x = 28 + 0.40x + -0.40x

Combine like terms: 0.50x + -0.40x = 0.1x
14 + 0.1x = 28 + 0.40x + -0.40x

Combine like terms: 0.40x + -0.40x = 0.00
14 + 0.1x = 28 + 0.00
14 + 0.1x = 28

Add '-14' to each side of the equation.
14 + -14 + 0.1x = 28 + -14

Combine like terms: 14 + -14 = 0
0 + 0.1x = 28 + -14
0.1x = 28 + -14

Combine like terms: 28 + -14 = 14
0.1x = 14

Divide each side by '0.1'.
x = 140

Simplifying
x = 140

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