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

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

Solve for x

$$x=-4$$

Steps for Solving Linear Equation

Use the distributive property to multiply 4 by 2x-1.

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

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

$$8x-4-15x-6=3\left(2-x\right)$$

Combine 8x and -15x to get -7x.

$$-7x-4-6=3\left(2-x\right)$$

Subtract 6 from -4 to get -10.

$$-7x-10=3\left(2-x\right)$$

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

$$-7x-10=6-3x$$

Add 3x to both sides.

$$-7x-10+3x=6$$

Combine -7x and 3x to get -4x.

$$-4x-10=6$$

Add 10 to both sides.

$$-4x=6+10$$

Add 6 and 10 to get 16.

$$-4x=16$$

Divide both sides by -4.

$$x=\frac{16}{-4}$$

Divide 16 by -4 to get -4.

$$x=-4$$