Solve 6(4x + 5) + 3 = 2(10x - 1) | 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

$$6(4x+5)+3=2(10x-1)$$

Solve for x

$x = -\frac{35}{4} = -8\frac{3}{4} = -8.75$

Steps for Solving Linear Equation

Use the distributive property to multiply $6$ by $4x+5$.

$$24x+30+3=2\left(10x-1\right)$$

Add $30$ and $3$ to get $33$.

$$24x+33=2\left(10x-1\right)$$

Use the distributive property to multiply $2$ by $10x-1$.

$$24x+33=20x-2$$

Subtract $20x$ from both sides.

$$24x+33-20x=-2$$

Combine $24x$ and $-20x$ to get $4x$.

$$4x+33=-2$$

Subtract $33$ from both sides.

$$4x=-2-33$$

Subtract $33$ from $-2$ to get $-35$.

$$4x=-35$$

Divide both sides by $4$.

$$x=\frac{-35}{4}$$

Fraction $\frac{-35}{4}$ can be rewritten as $-\frac{35}{4}$ by extracting the negative sign.

$$x=-\frac{35}{4}$$