Solve B=513-x/+(2x-7)

$$B = 513 - x / + ( 2 x - 7 )$$

Solve for x

$$x=-\frac{7\left(513-B\right)}{2B-1025}$$

$$B\neq \frac{1025}{2}$$

Steps for Solving Linear Equation

Variable x cannot be equal to \frac{7}{2} since division by zero is not defined. Multiply both sides of the equation by 2x-7.

$$B\left(2x-7\right)=\left(2x-7\right)\times 513-x$$

Use the distributive property to multiply B by 2x-7.

$$2Bx-7B=\left(2x-7\right)\times 513-x$$

Use the distributive property to multiply 2x-7 by 513.

$$2Bx-7B=1026x-3591-x$$

Subtract 1026x from both sides.

$$2Bx-7B-1026x=-3591-x$$

Add x to both sides.

$$2Bx-7B-1026x+x=-3591$$

Combine -1026x and x to get -1025x.

$$2Bx-7B-1025x=-3591$$

Add 7B to both sides.

$$2Bx-1025x=-3591+7B$$

Combine all terms containing x.

$$\left(2B-1025\right)x=-3591+7B$$

The equation is in standard form.

$$\left(2B-1025\right)x=7B-3591$$

Divide both sides by -1025+2B.

$$\frac{\left(2B-1025\right)x}{2B-1025}=\frac{7B-3591}{2B-1025}$$

Dividing by -1025+2B undoes the multiplication by -1025+2B.

$$x=\frac{7B-3591}{2B-1025}$$

Divide -3591+7B by -1025+2B.

$$x=\frac{7\left(B-513\right)}{2B-1025}$$

Variable x cannot be equal to \frac{7}{2}.

$$x=\frac{7\left(B-513\right)}{2B-1025}\text{, }x\neq \frac{7}{2}$$

Solve for B

$$B=-\frac{3591-1025x}{2x-7}$$

$$x\neq \frac{7}{2}$$