Pre-Algebra Examples

$3 x - 1 = 4 x + 8 - x$

Step 1

Since $x$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$4 x + 8 - x = 3 x - 1$

Step 2

Subtract $x$ from $4 x$ .

$3 x + 8 = 3 x - 1$

Step 3

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

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Step 3.1

Subtract $3 x$ from both sides of the equation.

$3 x + 8 - 3 x = - 1$

Step 3.2

Combine the opposite terms in $3 x + 8 - 3 x$ .

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Step 3.2.1

Subtract $3 x$ from $3 x$ .

$0 + 8 = - 1$

Step 3.2.2

Add $0$ and $8$ .

$8 = - 1$

Step 4

Since $8 \neq - 1$ , there are no solutions.

No solution