Solve A=4(a+2)-3b+5*7

$$A = 4 ( a + 2 ) - 3 b + 5 \times 7$$

Solve for A

$$A=4a-3b+43$$

Solution Steps

Use the distributive property to multiply 4 by a+2.

$$A=4a+8-3b+5\times 7$$

Multiply 5 and 7 to get 35.

$$A=4a+8-3b+35$$

Add 8 and 35 to get 43.

$$A=4a+43-3b$$

Solve for a

$$a=\frac{A+3b-43}{4}$$

Steps for Solving Linear Equation

Use the distributive property to multiply 4 by a+2.

$$A=4a+8-3b+5\times 7$$

Multiply 5 and 7 to get 35.

$$A=4a+8-3b+35$$

Add 8 and 35 to get 43.

$$A=4a+43-3b$$

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

$$4a+43-3b=A$$

Subtract 43 from both sides.

$$4a-3b=A-43$$

Add 3b to both sides.

$$4a=A-43+3b$$

The equation is in standard form.

$$4a=A+3b-43$$

Divide both sides by 4.

$$\frac{4a}{4}=\frac{A+3b-43}{4}$$

Dividing by 4 undoes the multiplication by 4.

$$a=\frac{A+3b-43}{4}$$