Solve 3/4 * (7x - 1) - 2x - 1 - x = x + 13/2 9 | 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

$$\frac { 3 } { 4 } ( 7 x - 1 ) - 2 x - \frac { 1 - x } { 2 } = x + \frac { 3 } { 2 }$$

Solve for x

$x=1$

Steps for Solving Linear Equation

Multiply both sides of the equation by $4$, the least common multiple of $4,2$.

$$3\left(7x-1\right)-8x-2\left(1-x\right)=4x+6$$

Use the distributive property to multiply $3$ by $7x-1$.

$$21x-3-8x-2\left(1-x\right)=4x+6$$

Combine $21x$ and $-8x$ to get $13x$.

$$13x-3-2\left(1-x\right)=4x+6$$

Use the distributive property to multiply $-2$ by $1-x$.

$$13x-3-2+2x=4x+6$$

Subtract $2$ from $-3$ to get $-5$.

$$13x-5+2x=4x+6$$

Combine $13x$ and $2x$ to get $15x$.

$$15x-5=4x+6$$

Subtract $4x$ from both sides.

$$15x-5-4x=6$$

Combine $15x$ and $-4x$ to get $11x$.

$$11x-5=6$$

Add $5$ to both sides.

$$11x=6+5$$

Add $6$ and $5$ to get $11$.

$$11x=11$$

Divide both sides by $11$.

$$x=\frac{11}{11}$$

Divide $11$ by $11$ to get $1$.

$$x=1$$