Solve (4x - 5) - (2 + 3x) = 7x - 6 | 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

$$(4x-5)-(2+3x)=7x-6$$

Solve for x

$x=-\frac{1}{6}\approx -0.166666667$

Steps for Solving Linear Equation

To find the opposite of $2+3x$, find the opposite of each term.

$$4x-5-2-3x=7x-6$$

Subtract $2$ from $-5$ to get $-7$.

$$4x-7-3x=7x-6$$

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

$$x-7=7x-6$$

Subtract $7x$ from both sides.

$$x-7-7x=-6$$

Combine $x$ and $-7x$ to get $-6x$.

$$-6x-7=-6$$

Add $7$ to both sides.

$$-6x=-6+7$$

Add $-6$ and $7$ to get $1$.

$$-6x=1$$

Divide both sides by $-6$.

$$x=\frac{1}{-6}$$

Fraction $\frac{1}{-6}$ can be rewritten as $-\frac{1}{6}$ by extracting the negative sign.

$$x=-\frac{1}{6}$$