Solve 2860=2(x-50)+(x-50)+x+135x+77x

$$2860 = 2 ( x - 50 ) + ( x - 50 ) + x + 135 x + 77 x$$

Solve for x

$$x = \frac{1505}{108} = 13\frac{101}{108} \approx 13.935185185$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by x-50.

$$2860=2x-100+x-50+x+135x+77x$$

Combine 2x and x to get 3x.

$$2860=3x-100-50+x+135x+77x$$

Subtract 50 from -100 to get -150.

$$2860=3x-150+x+135x+77x$$

Combine 3x and x to get 4x.

$$2860=4x-150+135x+77x$$

Combine 4x and 135x to get 139x.

$$2860=139x-150+77x$$

Combine 139x and 77x to get 216x.

$$2860=216x-150$$

Swap sides so that all variable terms are on the left hand side.

$$216x-150=2860$$

Add 150 to both sides.

$$216x=2860+150$$

Add 2860 and 150 to get 3010.

$$216x=3010$$

Divide both sides by 216.

$$x=\frac{3010}{216}$$

Reduce the fraction \frac{3010}{216} to lowest terms by extracting and canceling out 2.

$$x=\frac{1505}{108}$$