Solve 2(3x-1)+5=4(6x+7)-7

$$2 ( 3 x - 1 ) + 5 = 4 ( 6 x + 7 ) - 7$$

Solve for x

$$x=-1$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by 3x-1.

$$6x-2+5=4\left(6x+7\right)-7$$

Add -2 and 5 to get 3.

$$6x+3=4\left(6x+7\right)-7$$

Use the distributive property to multiply 4 by 6x+7.

$$6x+3=24x+28-7$$

Subtract 7 from 28 to get 21.

$$6x+3=24x+21$$

Subtract 24x from both sides.

$$6x+3-24x=21$$

Combine 6x and -24x to get -18x.

$$-18x+3=21$$

Subtract 3 from both sides.

$$-18x=21-3$$

Subtract 3 from 21 to get 18.

$$-18x=18$$

Divide both sides by -18.

$$x=\frac{18}{-18}$$

Divide 18 by -18 to get -1.

$$x=-1$$