Solve for x (54+x+89)/3=76

$\frac{54 + x + 89}{3} = 76$

Multiply both sides of the equation by $3$ .

$3 \frac{54 + x + 89}{3} = 3 \cdot 76$

Simplify both sides of the equation.

Simplify the left side.

Simplify $3 \frac{54 + x + 89}{3}$ .

Cancel the common factor of $3$ .

Cancel the common factor.

$3 \frac{54 + x + 89}{3} = 3 \cdot 76$

Rewrite the expression.

$54 + x + 89 = 3 \cdot 76$

Add $54$ and $89$ .

$x + 143 = 3 \cdot 76$

Simplify the right side.

Multiply $3$ by $76$ .

$x + 143 = 228$

Move all terms not containing $x$ to the right side of the equation.

Subtract $143$ from both sides of the equation.

$x = 228 - 143$

Subtract $143$ from $228$ .

$x = 85$