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

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

Solve for x

$$x=2$$

Steps for Solving Linear Equation

Use the distributive property to multiply -3 by 5-2x.

$$-15+6x+2\left(x-1\right)=5-3x$$

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

$$-15+6x+2x-2=5-3x$$

Combine 6x and 2x to get 8x.

$$-15+8x-2=5-3x$$

Subtract 2 from -15 to get -17.

$$-17+8x=5-3x$$

Add 3x to both sides.

$$-17+8x+3x=5$$

Combine 8x and 3x to get 11x.

$$-17+11x=5$$

Add 17 to both sides.

$$11x=5+17$$

Add 5 and 17 to get 22.

$$11x=22$$

Divide both sides by 11.

$$x=\frac{22}{11}$$

Divide 22 by 11 to get 2.

$$x=2$$