Algebra Examples

$2 x + 3 + 5 x + 17 + 90 = 180$

Step 1

Simplify $2 x + 3 + 5 x + 17 + 90$ .

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Step 1.1

Add $2 x$ and $5 x$ .

$7 x + 3 + 17 + 90 = 180$

Step 1.2

Simplify by adding numbers.

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Step 1.2.1

Add $3$ and $17$ .

$7 x + 20 + 90 = 180$

Step 1.2.2

Add $20$ and $90$ .

$7 x + 110 = 180$

Step 2

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

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Step 2.1

Subtract $110$ from both sides of the equation.

$7 x = 180 - 110$

Step 2.2

Subtract $110$ from $180$ .

$7 x = 70$

Step 3

Divide each term in $7 x = 70$ by $7$ and simplify.

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Step 3.1

Divide each term in $7 x = 70$ by $7$ .

$\frac{7 x}{7} = \frac{70}{7}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $7$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{7 x}{7} = \frac{70}{7}$

Step 3.2.1.2

Divide $x$ by $1$ .

$x = \frac{70}{7}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Divide $70$ by $7$ .

$x = 10$