Solve 7,7/1(x+0)=7*14+8*11+9*3/30

$$\frac { 7,7 } { 1 ( x + 0 ) } = \frac { 7 \times 14 + 8 \times 11 + 9 \times 3 } { 30 }$$

Solve for x

$$x=\frac{77}{71}\approx 1,084507042$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 30x, the least common multiple of 1\left(x+0\right);30.

$$30\times 7,7=x\left(7\times 14+8\times 11+9\times 3\right)$$

Multiply 30 and 7,7 to get 231.

$$231=x\left(7\times 14+8\times 11+9\times 3\right)$$

Use the distributive property to multiply x by 7\times 14+8\times 11+9\times 3.

$$231=x\left(7\times 14\right)+x\left(8\times 11\right)+x\left(9\times 3\right)$$

Swap sides so that all variable terms are on the left hand side.

$$x\left(7\times 14\right)+x\left(8\times 11\right)+x\left(9\times 3\right)=231$$

Combine all terms containing x.

$$\left(7\times 14+8\times 11+9\times 3\right)x=231$$

The equation is in standard form.

$$213x=231$$

Divide both sides by 213.

$$\frac{213x}{213}=\frac{231}{213}$$

Dividing by 213 undoes the multiplication by 213.

$$x=\frac{231}{213}$$

Reduce the fraction \frac{231}{213} to lowest terms by extracting and canceling out 3.

$$x=\frac{77}{71}$$