Solve 5x-2(2x-7)=2(3x-1)(7)/(2) | 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

$$5x-2(2x-7)=2(3x-1) \frac{ 7 }{ 2 }$$

Solve for x

$x = \frac{21}{20} = 1\frac{1}{20} = 1.05$

Steps for Solving Linear Equation

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

$$5x-4x+14=2\left(3x-1\right)\times \frac{7}{2}$$

Combine $5x$ and $-4x$ to get $x$.

$$x+14=2\left(3x-1\right)\times \frac{7}{2}$$

Cancel out $2$ and $2$.

$$x+14=7\left(3x-1\right)$$

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

$$x+14=21x-7$$

Subtract $21x$ from both sides.

$$x+14-21x=-7$$

Combine $x$ and $-21x$ to get $-20x$.

$$-20x+14=-7$$

Subtract $14$ from both sides.

$$-20x=-7-14$$

Subtract $14$ from $-7$ to get $-21$.

$$-20x=-21$$

Divide both sides by $-20$.

$$x=\frac{-21}{-20}$$

Fraction $\frac{-21}{-20}$ can be simplified to $\frac{21}{20}$ by removing the negative sign from both the numerator and the denominator.

$$x=\frac{21}{20}$$