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

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

Solve for x

$$x=5$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 60, the least common multiple of 3,5,4.

$$20\times 2\left(x-2\right)-84-12\left(3-2x\right)=15\left(x+3\right)$$

Multiply 20 and 2 to get 40.

$$40\left(x-2\right)-84-12\left(3-2x\right)=15\left(x+3\right)$$

Use the distributive property to multiply 40 by x-2.

$$40x-80-84-12\left(3-2x\right)=15\left(x+3\right)$$

Subtract 84 from -80 to get -164.

$$40x-164-12\left(3-2x\right)=15\left(x+3\right)$$

Use the distributive property to multiply -12 by 3-2x.

$$40x-164-36+24x=15\left(x+3\right)$$

Subtract 36 from -164 to get -200.

$$40x-200+24x=15\left(x+3\right)$$

Combine 40x and 24x to get 64x.

$$64x-200=15\left(x+3\right)$$

Use the distributive property to multiply 15 by x+3.

$$64x-200=15x+45$$

Subtract 15x from both sides.

$$64x-200-15x=45$$

Combine 64x and -15x to get 49x.

$$49x-200=45$$

Add 200 to both sides.

$$49x=45+200$$

Add 45 and 200 to get 245.

$$49x=245$$

Divide both sides by 49.

$$x=\frac{245}{49}$$

Divide 245 by 49 to get 5.

$$x=5$$