Linear Algebra Examples

$8 x - 40 = 7 x + 35$

Step 1

Move all terms containing $x$ to the left side of the equation.

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Step 1.1

Subtract $7 x$ from both sides of the equation.

$8 x - 40 - 7 x = 35$

Step 1.2

Subtract $7 x$ from $8 x$ .

$x - 40 = 35$

Step 2

Move all terms not containing $x$ to the right side of the equation.

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Step 2.1

Add $40$ to both sides of the equation.

$x = 35 + 40$

Step 2.2

Add $35$ and $40$ .

$x = 75$

Step 3

The domain is the set of all valid $x$ values.

${x | x = 75}$

Step 4