0.13(50)+0.18x=0.16(x+50)

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Solution for 0.13(50)+0.18x=0.16(x+50) equation: 


Simplifying
0.13(50) + 0.18x = 0.16(x + 50)

Multiply 0.13 * 50
6.5 + 0.18x = 0.16(x + 50)

Reorder the terms:
6.5 + 0.18x = 0.16(50 + x)
6.5 + 0.18x = (50 * 0.16 + x * 0.16)
6.5 + 0.18x = (8 + 0.16x)

Solving
6.5 + 0.18x = 8 + 0.16x

Solving for variable 'x'.

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

Add '-0.16x' to each side of the equation.
6.5 + 0.18x + -0.16x = 8 + 0.16x + -0.16x

Combine like terms: 0.18x + -0.16x = 0.02x
6.5 + 0.02x = 8 + 0.16x + -0.16x

Combine like terms: 0.16x + -0.16x = 0.00
6.5 + 0.02x = 8 + 0.00
6.5 + 0.02x = 8

Add '-6.5' to each side of the equation.
6.5 + -6.5 + 0.02x = 8 + -6.5

Combine like terms: 6.5 + -6.5 = 0.0
0.0 + 0.02x = 8 + -6.5
0.02x = 8 + -6.5

Combine like terms: 8 + -6.5 = 1.5
0.02x = 1.5

Divide each side by '0.02'.
x = 75

Simplifying
x = 75

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