33.48+24.35(52)=27.76(52+x)

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Solution for 33.48+24.35(52)=27.76(52+x) equation: 


Simplifying
33.48 + 24.35(52) = 27.76(52 + x)

Multiply 24.35 * 52
33.48 + 1266.2 = 27.76(52 + x)

Combine like terms: 33.48 + 1266.2 = 1299.68
1299.68 = 27.76(52 + x)
1299.68 = (52 * 27.76 + x * 27.76)
1299.68 = (1443.52 + 27.76x)

Solving
1299.68 = 1443.52 + 27.76x

Solving for variable 'x'.

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

Add '-27.76x' to each side of the equation.
1299.68 + -27.76x = 1443.52 + 27.76x + -27.76x

Combine like terms: 27.76x + -27.76x = 0.00
1299.68 + -27.76x = 1443.52 + 0.00
1299.68 + -27.76x = 1443.52

Add '-1299.68' to each side of the equation.
1299.68 + -1299.68 + -27.76x = 1443.52 + -1299.68

Combine like terms: 1299.68 + -1299.68 = 0.00
0.00 + -27.76x = 1443.52 + -1299.68
-27.76x = 1443.52 + -1299.68

Combine like terms: 1443.52 + -1299.68 = 143.84
-27.76x = 143.84

Divide each side by '-27.76'.
x = -5.181556196

Simplifying
x = -5.181556196

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