Solve (6x - 2)/7 = 4 + 5x | 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

$$\frac{6x-2}{7}=4+5x$$

Solve for x

$x = -\frac{30}{29} = -1\frac{1}{29} \approx -1.034482759$

Steps for Solving Linear Equation

Multiply both sides of the equation by $7$.

$$6x-2=28+35x$$

Subtract $35x$ from both sides.

$$6x-2-35x=28$$

Combine $6x$ and $-35x$ to get $-29x$.

$$-29x-2=28$$

Add $2$ to both sides.

$$-29x=28+2$$

Add $28$ and $2$ to get $30$.

$$-29x=30$$

Divide both sides by $-29$.

$$x=\frac{30}{-29}$$

Fraction $\frac{30}{-29}$ can be rewritten as $-\frac{30}{29}$ by extracting the negative sign.

$$x=-\frac{30}{29}$$