49(x-76)=152-53x

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Solution for 49(x-76)=152-53x equation:


Simplifying
49(x + -76) = 152 + -53x

Reorder the terms:
49(-76 + x) = 152 + -53x
(-76 * 49 + x * 49) = 152 + -53x
(-3724 + 49x) = 152 + -53x

Solving
-3724 + 49x = 152 + -53x

Solving for variable 'x'.

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

Add '53x' to each side of the equation.
-3724 + 49x + 53x = 152 + -53x + 53x

Combine like terms: 49x + 53x = 102x
-3724 + 102x = 152 + -53x + 53x

Combine like terms: -53x + 53x = 0
-3724 + 102x = 152 + 0
-3724 + 102x = 152

Add '3724' to each side of the equation.
-3724 + 3724 + 102x = 152 + 3724

Combine like terms: -3724 + 3724 = 0
0 + 102x = 152 + 3724
102x = 152 + 3724

Combine like terms: 152 + 3724 = 3876
102x = 3876

Divide each side by '102'.
x = 38

Simplifying
x = 38

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