Solve the (x + 1)/2 - 3 = (2x - 2)/3 + 4 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

$$\frac { x + 1 - 3 } { 2 } = \frac { 2 x - 2 } { 3 } + 4$$

Solve for x

$x=-26$

Steps for Solving Linear Equation

Multiply both sides of the equation by $6$, the least common multiple of $2,3$.

$$3\left(x+1-3\right)=2\left(2x-2\right)+24$$

Subtract $3$ from $1$ to get $-2$.

$$3\left(x-2\right)=2\left(2x-2\right)+24$$

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

$$3x-6=2\left(2x-2\right)+24$$

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

$$3x-6=4x-4+24$$

Add $-4$ and $24$ to get $20$.

$$3x-6=4x+20$$

Subtract $4x$ from both sides.

$$3x-6-4x=20$$

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

$$-x-6=20$$

Add $6$ to both sides.

$$-x=20+6$$

Add $20$ and $6$ to get $26$.

$$-x=26$$

Multiply both sides by $-1$.

$$x=-26$$