0.26(50)+0.50x=0.40(50+x)

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Solution for 0.26(50)+0.50x=0.40(50+x) equation:


Simplifying
0.26(50) + 0.50x = 0.40(50 + x)

Multiply 0.26 * 50
13 + 0.50x = 0.40(50 + x)
13 + 0.50x = (50 * 0.40 + x * 0.40)
13 + 0.50x = (20 + 0.40x)

Solving
13 + 0.50x = 20 + 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.
13 + 0.50x + -0.40x = 20 + 0.40x + -0.40x

Combine like terms: 0.50x + -0.40x = 0.1x
13 + 0.1x = 20 + 0.40x + -0.40x

Combine like terms: 0.40x + -0.40x = 0.00
13 + 0.1x = 20 + 0.00
13 + 0.1x = 20

Add '-13' to each side of the equation.
13 + -13 + 0.1x = 20 + -13

Combine like terms: 13 + -13 = 0
0 + 0.1x = 20 + -13
0.1x = 20 + -13

Combine like terms: 20 + -13 = 7
0.1x = 7

Divide each side by '0.1'.
x = 70

Simplifying
x = 70

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