Solve 10(x-4)<3(4-2x)-3x

$$10 ( x - 4 ) < 3 ( 4 - 2 x ) - 3 x$$

Solve for x

$$x<\frac{52}{19}$$

Solution Steps

Use the distributive property to multiply 10 by x-4.

$$10x-40<3\left(4-2x\right)-3x$$

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

$$10x-40<12-6x-3x$$

Combine -6x and -3x to get -9x.

$$10x-40<12-9x$$

Add 9x to both sides.

$$10x-40+9x<12$$

Combine 10x and 9x to get 19x.

$$19x-40<12$$

Add 40 to both sides.

$$19x<12+40$$

Add 12 and 40 to get 52.

$$19x<52$$

Divide both sides by 19. Since 19 is positive, the inequality direction remains the same.

$$x<\frac{52}{19}$$