49(x-11)+90-86+32=5x

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Solution for 49(x-11)+90-86+32=5x equation:


Simplifying
49(x + -11) + 90 + -86 + 32 = 5x

Reorder the terms:
49(-11 + x) + 90 + -86 + 32 = 5x
(-11 * 49 + x * 49) + 90 + -86 + 32 = 5x
(-539 + 49x) + 90 + -86 + 32 = 5x

Reorder the terms:
-539 + 90 + -86 + 32 + 49x = 5x

Combine like terms: -539 + 90 = -449
-449 + -86 + 32 + 49x = 5x

Combine like terms: -449 + -86 = -535
-535 + 32 + 49x = 5x

Combine like terms: -535 + 32 = -503
-503 + 49x = 5x

Solving
-503 + 49x = 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-503 + 49x + -5x = 5x + -5x

Combine like terms: 49x + -5x = 44x
-503 + 44x = 5x + -5x

Combine like terms: 5x + -5x = 0
-503 + 44x = 0

Add '503' to each side of the equation.
-503 + 503 + 44x = 0 + 503

Combine like terms: -503 + 503 = 0
0 + 44x = 0 + 503
44x = 0 + 503

Combine like terms: 0 + 503 = 503
44x = 503

Divide each side by '44'.
x = 11.43181818

Simplifying
x = 11.43181818

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