Solve 278left(x-3right)-463left(6-2xright)-888left(7x-21right)=0

$$278 \left( x-3 \right) -463 \left( 6-2x \right) -888 \left( 7x-21 \right) = 0$$

Solve for x

$$x=3$$

Steps for Solving Linear Equation

Use the distributive property to multiply 278 by x-3.

$$278x-834-463\left(6-2x\right)-888\left(7x-21\right)=0$$

Use the distributive property to multiply -463 by 6-2x.

$$278x-834-2778+926x-888\left(7x-21\right)=0$$

Subtract 2778 from -834 to get -3612.

$$278x-3612+926x-888\left(7x-21\right)=0$$

Combine 278x and 926x to get 1204x.

$$1204x-3612-888\left(7x-21\right)=0$$

Use the distributive property to multiply -888 by 7x-21.

$$1204x-3612-6216x+18648=0$$

Combine 1204x and -6216x to get -5012x.

$$-5012x-3612+18648=0$$

Add -3612 and 18648 to get 15036.

$$-5012x+15036=0$$

Subtract 15036 from both sides. Anything subtracted from zero gives its negation.

$$-5012x=-15036$$

Divide both sides by -5012.

$$x=\frac{-15036}{-5012}$$

Divide -15036 by -5012 to get 3.

$$x=3$$