Solve 0.51(80+x)-33=(80+x)0.4

$$0.51(80+x)-33=(80+x)0.4$$

Solve for x

$$x=220$$

Steps for Solving Linear Equation

Use the distributive property to multiply 0.51 by 80+x.

$$40.8+0.51x-33=\left(80+x\right)\times 0.4$$

Subtract 33 from 40.8 to get 7.8.

$$7.8+0.51x=\left(80+x\right)\times 0.4$$

Use the distributive property to multiply 80+x by 0.4.

$$7.8+0.51x=32+0.4x$$

Subtract 0.4x from both sides.

$$7.8+0.51x-0.4x=32$$

Combine 0.51x and -0.4x to get 0.11x.

$$7.8+0.11x=32$$

Subtract 7.8 from both sides.

$$0.11x=32-7.8$$

Subtract 7.8 from 32 to get 24.2.

$$0.11x=24.2$$

Divide both sides by 0.11.

$$x=\frac{24.2}{0.11}$$

Expand \frac{24.2}{0.11} by multiplying both numerator and the denominator by 100.

$$x=\frac{2420}{11}$$

Divide 2420 by 11 to get 220.

$$x=220$$