52(x+180)=90(x+26)

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Solution for 52(x+180)=90(x+26) equation: 


Simplifying
52(x + 180) = 90(x + 26)

Reorder the terms:
52(180 + x) = 90(x + 26)
(180 * 52 + x * 52) = 90(x + 26)
(9360 + 52x) = 90(x + 26)

Reorder the terms:
9360 + 52x = 90(26 + x)
9360 + 52x = (26 * 90 + x * 90)
9360 + 52x = (2340 + 90x)

Solving
9360 + 52x = 2340 + 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.
9360 + 52x + -90x = 2340 + 90x + -90x

Combine like terms: 52x + -90x = -38x
9360 + -38x = 2340 + 90x + -90x

Combine like terms: 90x + -90x = 0
9360 + -38x = 2340 + 0
9360 + -38x = 2340

Add '-9360' to each side of the equation.
9360 + -9360 + -38x = 2340 + -9360

Combine like terms: 9360 + -9360 = 0
0 + -38x = 2340 + -9360
-38x = 2340 + -9360

Combine like terms: 2340 + -9360 = -7020
-38x = -7020

Divide each side by '-38'.
x = 184.7368421

Simplifying
x = 184.7368421

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