Solve 2(x + 4) + 9 = 7(6x + 2) + 4 | 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

$$2(x+4)+9=7(6x+2)+4$$

Solve for x

$x=-\frac{1}{40}=-0.025$

Steps for Solving Linear Equation

Use the distributive property to multiply $2$ by $x+4$.

$$2x+8+9=7\left(6x+2\right)+4$$

Add $8$ and $9$ to get $17$.

$$2x+17=7\left(6x+2\right)+4$$

Use the distributive property to multiply $7$ by $6x+2$.

$$2x+17=42x+14+4$$

Add $14$ and $4$ to get $18$.

$$2x+17=42x+18$$

Subtract $42x$ from both sides.

$$2x+17-42x=18$$

Combine $2x$ and $-42x$ to get $-40x$.

$$-40x+17=18$$

Subtract $17$ from both sides.

$$-40x=18-17$$

Subtract $17$ from $18$ to get $1$.

$$-40x=1$$

Divide both sides by $-40$.

$$x=\frac{1}{-40}$$

Fraction $\frac{1}{-40}$ can be rewritten as $-\frac{1}{40}$ by extracting the negative sign.

$$x=-\frac{1}{40}$$