Solve x/7 - 2 = x + (4 - 3x)/7 | 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

$$\frac{x}{7}-2=x+\frac{4-3x}{7}$$

Solve for x

$x=-6$

Steps for Solving Linear Equation

Multiply both sides of the equation by $7$.

$$x-14=7x+4-3x$$

Combine $7x$ and $-3x$ to get $4x$.

$$x-14=4x+4$$

Subtract $4x$ from both sides.

$$x-14-4x=4$$

Combine $x$ and $-4x$ to get $-3x$.

$$-3x-14=4$$

Add $14$ to both sides.

$$-3x=4+14$$

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

$$-3x=18$$

Divide both sides by $-3$.

$$x=\frac{18}{-3}$$

Divide $18$ by $-3$ to get $-6$.

$$x=-6$$