Basic Math Examples

$5 x + 4 = 7 (x + 1) - 2 x$

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.

$7 (x + 1) - 2 x = 5 x + 4$

Step 2

Simplify $7 (x + 1) - 2 x$ .

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Step 2.1

Simplify each term.

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Step 2.1.1

Apply the distributive property.

$7 x + 7 \cdot 1 - 2 x = 5 x + 4$

Step 2.1.2

Multiply $7$ by $1$ .

$7 x + 7 - 2 x = 5 x + 4$

Step 2.2

Subtract $2 x$ from $7 x$ .

$5 x + 7 = 5 x + 4$

Step 3

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

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Step 3.1

Subtract $5 x$ from both sides of the equation.

$5 x + 7 - 5 x = 4$

Step 3.2

Combine the opposite terms in $5 x + 7 - 5 x$ .

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Step 3.2.1

Subtract $5 x$ from $5 x$ .

$0 + 7 = 4$

Step 3.2.2

Add $0$ and $7$ .

$7 = 4$

Step 4

Since $7 \neq 4$ , there are no solutions.

No solution