Solve 3(x - 2) = 52c + 10 | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$3(x-2)=52c+10$$

Solve for c

$c=\frac{3x}{52}-\frac{4}{13}$

Steps for Solving Linear Equation

Use the distributive property to multiply $3$ by $x-2$.

$$3x-6=52c+10$$

Swap sides so that all variable terms are on the left hand side.

$$52c+10=3x-6$$

Subtract $10$ from both sides.

$$52c=3x-6-10$$

Subtract $10$ from $-6$ to get $-16$.

$$52c=3x-16$$

Divide both sides by $52$.

$$\frac{52c}{52}=\frac{3x-16}{52}$$

Dividing by $52$ undoes the multiplication by $52$.

$$c=\frac{3x-16}{52}$$

Divide $3x-16$ by $52$.

$$c=\frac{3x}{52}-\frac{4}{13}$$

Solve for x

$x=\frac{52c+16}{3}$

Steps for Solving Linear Equation

Use the distributive property to multiply $3$ by $x-2$.

$$3x-6=52c+10$$

Add $6$ to both sides.

$$3x=52c+10+6$$

Add $10$ and $6$ to get $16$.

$$3x=52c+16$$

Divide both sides by $3$.

$$\frac{3x}{3}=\frac{52c+16}{3}$$

Dividing by $3$ undoes the multiplication by $3$.

$$x=\frac{52c+16}{3}$$