Solve -5-3*(2-x)+8+4*(-3x+1)=-5*(-1+2x)

$$- 5 - 3 \cdot ( 2 - x ) + 8 + 4 \cdot ( - 3 x + 1 ) = - 5 \cdot ( - 1 + 2 x )$$

Solve for x

$$x=4$$

Steps for Solving Linear Equation

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

$$-5-6+3x+8+4\left(-3x+1\right)=-5\left(-1+2x\right)$$

Subtract 6 from -5 to get -11.

$$-11+3x+8+4\left(-3x+1\right)=-5\left(-1+2x\right)$$

Add -11 and 8 to get -3.

$$-3+3x+4\left(-3x+1\right)=-5\left(-1+2x\right)$$

Use the distributive property to multiply 4 by -3x+1.

$$-3+3x-12x+4=-5\left(-1+2x\right)$$

Combine 3x and -12x to get -9x.

$$-3-9x+4=-5\left(-1+2x\right)$$

Add -3 and 4 to get 1.

$$1-9x=-5\left(-1+2x\right)$$

Use the distributive property to multiply -5 by -1+2x.

$$1-9x=5-10x$$

Add 10x to both sides.

$$1-9x+10x=5$$

Combine -9x and 10x to get x.

$$1+x=5$$

Subtract 1 from both sides.

$$x=5-1$$

Subtract 1 from 5 to get 4.

$$x=4$$