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

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

Solve for x

$$x = -\frac{5}{4} = -1\frac{1}{4} = -1.25$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by 2-4x.

$$6-12x+3\left(2x-5\right)=4\left(3x+1\right)-2\left(3x-1\right)$$

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

$$6-12x+6x-15=4\left(3x+1\right)-2\left(3x-1\right)$$

Combine -12x and 6x to get -6x.

$$6-6x-15=4\left(3x+1\right)-2\left(3x-1\right)$$

Subtract 15 from 6 to get -9.

$$-9-6x=4\left(3x+1\right)-2\left(3x-1\right)$$

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

$$-9-6x=12x+4-2\left(3x-1\right)$$

Use the distributive property to multiply -2 by 3x-1.

$$-9-6x=12x+4-6x+2$$

Combine 12x and -6x to get 6x.

$$-9-6x=6x+4+2$$

Add 4 and 2 to get 6.

$$-9-6x=6x+6$$

Subtract 6x from both sides.

$$-9-6x-6x=6$$

Combine -6x and -6x to get -12x.

$$-9-12x=6$$

Add 9 to both sides.

$$-12x=6+9$$

Add 6 and 9 to get 15.

$$-12x=15$$

Divide both sides by -12.

$$x=\frac{15}{-12}$$

Reduce the fraction \frac{15}{-12} to lowest terms by extracting and canceling out 3.

$$x=-\frac{5}{4}$$