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

$$\frac{x-1}{4}+2=1+\frac{2x+3}{6}$$

Solve for x

$x=3$

Steps for Solving Linear Equation

Multiply both sides of the equation by $12$, the least common multiple of $4,6$.

$$3\left(x-1\right)+24=12+2\left(2x+3\right)$$

Use the distributive property to multiply $3$ by $x-1$.

$$3x-3+24=12+2\left(2x+3\right)$$

Add $-3$ and $24$ to get $21$.

$$3x+21=12+2\left(2x+3\right)$$

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

$$3x+21=12+4x+6$$

Add $12$ and $6$ to get $18$.

$$3x+21=18+4x$$

Subtract $4x$ from both sides.

$$3x+21-4x=18$$

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

$$-x+21=18$$

Subtract $21$ from both sides.

$$-x=18-21$$

Subtract $21$ from $18$ to get $-3$.

$$-x=-3$$

Multiply both sides by $-1$.

$$x=3$$