Solve 7(a-6)+7=4(a-5)

$$7 ( a - 6 ) + 7 = 4 ( a - 5 )$$

Solve for a

$$a=5$$

Steps for Solving Linear Equation

Use the distributive property to multiply 7 by a-6.

$$7a-42+7=4\left(a-5\right)$$

Add -42 and 7 to get -35.

$$7a-35=4\left(a-5\right)$$

Use the distributive property to multiply 4 by a-5.

$$7a-35=4a-20$$

Subtract 4a from both sides.

$$7a-35-4a=-20$$

Combine 7a and -4a to get 3a.

$$3a-35=-20$$

Add 35 to both sides.

$$3a=-20+35$$

Add -20 and 35 to get 15.

$$3a=15$$

Divide both sides by 3.

$$a=\frac{15}{3}$$

Divide 15 by 3 to get 5.

$$a=5$$