Solve (3x-7)(2x+1)=(6x-7)(x-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

$$(3x-7)(2x+1)=(6x-7)(x-2)$$

Solve for x

$x = \frac{21}{8} = 2\frac{5}{8} = 2.625$

Steps for Solving Linear Equation

Use the distributive property to multiply $3x-7$ by $2x+1$ and combine like terms.

$$6x^{2}-11x-7=\left(6x-7\right)\left(x-2\right)$$

Use the distributive property to multiply $6x-7$ by $x-2$ and combine like terms.

$$6x^{2}-11x-7=6x^{2}-19x+14$$

Subtract $6x^{2}$ from both sides.

$$6x^{2}-11x-7-6x^{2}=-19x+14$$

Combine $6x^{2}$ and $-6x^{2}$ to get $0$.

$$-11x-7=-19x+14$$

Add $19x$ to both sides.

$$-11x-7+19x=14$$

Combine $-11x$ and $19x$ to get $8x$.

$$8x-7=14$$

Add $7$ to both sides.

$$8x=14+7$$

Add $14$ and $7$ to get $21$.

$$8x=21$$

Divide both sides by $8$.

$$x=\frac{21}{8}$$