(150+x)*38=90*x+(150)30

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Solution for (150+x)*38=90*x+(150)30 equation: 


Simplifying
(150 + x) * 38 = 90x + (150) * 30

Reorder the terms for easier multiplication:
38(150 + x) = 90x + (150) * 30
(150 * 38 + x * 38) = 90x + (150) * 30
(5700 + 38x) = 90x + (150) * 30

Multiply 150 * 30
5700 + 38x = 90x + 4500

Reorder the terms:
5700 + 38x = 4500 + 90x

Solving
5700 + 38x = 4500 + 90x

Solving for variable 'x'.

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

Add '-90x' to each side of the equation.
5700 + 38x + -90x = 4500 + 90x + -90x

Combine like terms: 38x + -90x = -52x
5700 + -52x = 4500 + 90x + -90x

Combine like terms: 90x + -90x = 0
5700 + -52x = 4500 + 0
5700 + -52x = 4500

Add '-5700' to each side of the equation.
5700 + -5700 + -52x = 4500 + -5700

Combine like terms: 5700 + -5700 = 0
0 + -52x = 4500 + -5700
-52x = 4500 + -5700

Combine like terms: 4500 + -5700 = -1200
-52x = -1200

Divide each side by '-52'.
x = 23.07692308

Simplifying
x = 23.07692308

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