Solve -0.7(2x-7)=0.3(11-4x)

$$-0.7(2x-7)=0.3(11-4x)$$

Solve for x

$$x=8$$

Steps for Solving Linear Equation

Use the distributive property to multiply -0.7 by 2x-7.

$$-1.4x+4.9=0.3\left(11-4x\right)$$

Use the distributive property to multiply 0.3 by 11-4x.

$$-1.4x+4.9=3.3-1.2x$$

Add 1.2x to both sides.

$$-1.4x+4.9+1.2x=3.3$$

Combine -1.4x and 1.2x to get -0.2x.

$$-0.2x+4.9=3.3$$

Subtract 4.9 from both sides.

$$-0.2x=3.3-4.9$$

Subtract 4.9 from 3.3 to get -1.6.

$$-0.2x=-1.6$$

Divide both sides by -0.2.

$$x=\frac{-1.6}{-0.2}$$

Expand \frac{-1.6}{-0.2} by multiplying both numerator and the denominator by 10.

$$x=\frac{-16}{-2}$$

Divide -16 by -2 to get 8.

$$x=8$$