Solve 2x-6/3-1=4-18-3x/4=

$$\frac { 2 x - 6 } { 3 } - 1 = 4 - \frac { 18 - 3 x } { 4 } =$$

Solve for x

$$x=-30$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 3,4.

$$4\left(2x-6\right)-12=48-3\left(18-3x\right)$$

Use the distributive property to multiply 4 by 2x-6.

$$8x-24-12=48-3\left(18-3x\right)$$

Subtract 12 from -24 to get -36.

$$8x-36=48-3\left(18-3x\right)$$

Use the distributive property to multiply -3 by 18-3x.

$$8x-36=48-54+9x$$

Subtract 54 from 48 to get -6.

$$8x-36=-6+9x$$

Subtract 9x from both sides.

$$8x-36-9x=-6$$

Combine 8x and -9x to get -x.

$$-x-36=-6$$

Add 36 to both sides.

$$-x=-6+36$$

Add -6 and 36 to get 30.

$$-x=30$$

Multiply both sides by -1.

$$x=-30$$