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

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

Solve for x

$$x=253$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 15, the least common multiple of 5,3.

$$3\left(-2\right)x+3+45\left(-x+5\right)=5\left(-5\right)\left(2x+1\right)$$

Multiply 3 and -2 to get -6.

$$-6x+3+45\left(-x+5\right)=5\left(-5\right)\left(2x+1\right)$$

Use the distributive property to multiply 45 by -x+5.

$$-6x+3+45\left(-x\right)+225=5\left(-5\right)\left(2x+1\right)$$

Add 3 and 225 to get 228.

$$-6x+228+45\left(-x\right)=5\left(-5\right)\left(2x+1\right)$$

Multiply 5 and -5 to get -25.

$$-6x+228+45\left(-x\right)=-25\left(2x+1\right)$$

Use the distributive property to multiply -25 by 2x+1.

$$-6x+228+45\left(-x\right)=-50x-25$$

Add 50x to both sides.

$$-6x+228+45\left(-x\right)+50x=-25$$

Combine -6x and 50x to get 44x.

$$44x+228+45\left(-x\right)=-25$$

Subtract 228 from both sides.

$$44x+45\left(-x\right)=-25-228$$

Subtract 228 from -25 to get -253.

$$44x+45\left(-x\right)=-253$$

Multiply 45 and -1 to get -45.

$$44x-45x=-253$$

Combine 44x and -45x to get -x.

$$-x=-253$$

Multiply both sides by -1.

$$x=253$$