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

$$4 x + 5 = \frac { 3 ( 2 x - 7 ) } { 3 } + 1$$

Solve for x

$$x = -\frac{11}{2} = -5\frac{1}{2} = -5.5$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 3.

$$12x+15=3\left(2x-7\right)+3$$

Use the distributive property to multiply 3 by 2x-7.

$$12x+15=6x-21+3$$

Add -21 and 3 to get -18.

$$12x+15=6x-18$$

Subtract 6x from both sides.

$$12x+15-6x=-18$$

Combine 12x and -6x to get 6x.

$$6x+15=-18$$

Subtract 15 from both sides.

$$6x=-18-15$$

Subtract 15 from -18 to get -33.

$$6x=-33$$

Divide both sides by 6.

$$x=\frac{-33}{6}$$

Reduce the fraction \frac{-33}{6} to lowest terms by extracting and canceling out 3.

$$x=-\frac{11}{2}$$