Solve 17x+7(2-2x)=6(2x-1)-5(2x-1)-x | 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

$$17x+7(2-2x)=6(2x-1)-5(2x-1)-x$$

Solve for x

$x = -\frac{15}{2} = -7\frac{1}{2} = -7.5$

Steps for Solving Linear Equation

Use the distributive property to multiply $7$ by $2-2x$.

$$17x+14-14x=6\left(2x-1\right)-5\left(2x-1\right)-x$$

Combine $17x$ and $-14x$ to get $3x$.

$$3x+14=6\left(2x-1\right)-5\left(2x-1\right)-x$$

Use the distributive property to multiply $6$ by $2x-1$.

$$3x+14=12x-6-5\left(2x-1\right)-x$$

Use the distributive property to multiply $-5$ by $2x-1$.

$$3x+14=12x-6-10x+5-x$$

Combine $12x$ and $-10x$ to get $2x$.

$$3x+14=2x-6+5-x$$

Add $-6$ and $5$ to get $-1$.

$$3x+14=2x-1-x$$

Combine $2x$ and $-x$ to get $x$.

$$3x+14=x-1$$

Subtract $x$ from both sides.

$$3x+14-x=-1$$

Combine $3x$ and $-x$ to get $2x$.

$$2x+14=-1$$

Subtract $14$ from both sides.

$$2x=-1-14$$

Subtract $14$ from $-1$ to get $-15$.

$$2x=-15$$

Divide both sides by $2$.

$$x=\frac{-15}{2}$$

Fraction $\frac{-15}{2}$ can be rewritten as $-\frac{15}{2}$ by extracting the negative sign.

$$x=-\frac{15}{2}$$