Pre-Algebra Examples

$7 x - 1 + 3 x - 4 = 5 x + 5 x - 8$

Step 1

Simplify $7 x - 1 + 3 x - 4$ .

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Step 1.1

Add $7 x$ and $3 x$ .

$10 x - 1 - 4 = 5 x + 5 x - 8$

Step 1.2

Subtract $4$ from $- 1$ .

$10 x - 5 = 5 x + 5 x - 8$

Step 2

Add $5 x$ and $5 x$ .

$10 x - 5 = 10 x - 8$

Step 3

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

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Step 3.1

Subtract $10 x$ from both sides of the equation.

$10 x - 5 - 10 x = - 8$

Step 3.2

Combine the opposite terms in $10 x - 5 - 10 x$ .

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Step 3.2.1

Subtract $10 x$ from $10 x$ .

$0 - 5 = - 8$

Step 3.2.2

Subtract $5$ from $0$ .

$- 5 = - 8$

Step 4

Since $- 5 \neq - 8$ , there are no solutions.

No solution