x=0.756(40+x)

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Solution for x=0.756(40+x) equation:


Simplifying
x = 0.756(40 + x)
x = (40 * 0.756 + x * 0.756)
x = (30.24 + 0.756x)

Solving
x = 30.24 + 0.756x

Solving for variable 'x'.

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

Add '-0.756x' to each side of the equation.
x + -0.756x = 30.24 + 0.756x + -0.756x

Combine like terms: x + -0.756x = 0.244x
0.244x = 30.24 + 0.756x + -0.756x

Combine like terms: 0.756x + -0.756x = 0.000
0.244x = 30.24 + 0.000
0.244x = 30.24

Divide each side by '0.244'.
x = 123.9344262

Simplifying
x = 123.9344262

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