Solve 4x+7/2-6x+3/3=7x+4/6+3

$$\frac { 4 x + 7 } { 2 } - \frac { 6 x + 3 } { 3 } = \frac { 7 x + 4 } { 6 } + 3$$

Solve for x

$$x=-1$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 2,3,6.

$$3\left(4x+7\right)-2\left(6x+3\right)=7x+4+18$$

Use the distributive property to multiply 3 by 4x+7.

$$12x+21-2\left(6x+3\right)=7x+4+18$$

Use the distributive property to multiply -2 by 6x+3.

$$12x+21-12x-6=7x+4+18$$

Combine 12x and -12x to get 0.

$$21-6=7x+4+18$$

Subtract 6 from 21 to get 15.

$$15=7x+4+18$$

Add 4 and 18 to get 22.

$$15=7x+22$$

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

$$7x+22=15$$

Subtract 22 from both sides.

$$7x=15-22$$

Subtract 22 from 15 to get -7.

$$7x=-7$$

Divide both sides by 7.

$$x=\frac{-7}{7}$$

Divide -7 by 7 to get -1.

$$x=-1$$