5200=40x+5(1.5x)

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Solution for 5200=40x+5(1.5x) equation:


Simplifying
5200 = 40x + 5(1.5x)

Remove parenthesis around (1.5x)
5200 = 40x + 5 * 1.5x

Multiply 5 * 1.5
5200 = 40x + 7.5x

Combine like terms: 40x + 7.5x = 47.5x
5200 = 47.5x

Solving
5200 = 47.5x

Solving for variable 'x'.

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

Add '-47.5x' to each side of the equation.
5200 + -47.5x = 47.5x + -47.5x

Combine like terms: 47.5x + -47.5x = 0.0
5200 + -47.5x = 0.0

Add '-5200' to each side of the equation.
5200 + -5200 + -47.5x = 0.0 + -5200

Combine like terms: 5200 + -5200 = 0
0 + -47.5x = 0.0 + -5200
-47.5x = 0.0 + -5200

Combine like terms: 0.0 + -5200 = -5200
-47.5x = -5200

Divide each side by '-47.5'.
x = 109.4736842

Simplifying
x = 109.4736842

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