0.31(70)+0.5x=0.3(70+x)

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Solution for 0.31(70)+0.5x=0.3(70+x) equation: 


Simplifying
0.31(70) + 0.5x = 0.3(70 + x)

Multiply 0.31 * 70
21.7 + 0.5x = 0.3(70 + x)
21.7 + 0.5x = (70 * 0.3 + x * 0.3)
21.7 + 0.5x = (21 + 0.3x)

Solving
21.7 + 0.5x = 21 + 0.3x

Solving for variable 'x'.

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

Add '-0.3x' to each side of the equation.
21.7 + 0.5x + -0.3x = 21 + 0.3x + -0.3x

Combine like terms: 0.5x + -0.3x = 0.2x
21.7 + 0.2x = 21 + 0.3x + -0.3x

Combine like terms: 0.3x + -0.3x = 0.0
21.7 + 0.2x = 21 + 0.0
21.7 + 0.2x = 21

Add '-21.7' to each side of the equation.
21.7 + -21.7 + 0.2x = 21 + -21.7

Combine like terms: 21.7 + -21.7 = 0.0
0.0 + 0.2x = 21 + -21.7
0.2x = 21 + -21.7

Combine like terms: 21 + -21.7 = -0.7
0.2x = -0.7

Divide each side by '0.2'.
x = -3.5

Simplifying
x = -3.5

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