Solve 5x+7/2=3x+5/4+2x+3

$$\frac { 5 x + 7 } { 2 } = \frac { 3 x + 5 } { 4 } + 2 x + 3$$

Solve for x

$$x=-3$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 4, the least common multiple of 2,4.

$$2\left(5x+7\right)=3x+5+8x+12$$

Use the distributive property to multiply 2 by 5x+7.

$$10x+14=3x+5+8x+12$$

Combine 3x and 8x to get 11x.

$$10x+14=11x+5+12$$

Add 5 and 12 to get 17.

$$10x+14=11x+17$$

Subtract 11x from both sides.

$$10x+14-11x=17$$

Combine 10x and -11x to get -x.

$$-x+14=17$$

Subtract 14 from both sides.

$$-x=17-14$$

Subtract 14 from 17 to get 3.

$$-x=3$$

Multiply both sides by -1.

$$x=-3$$