Solve 0.5(9x-6)=0.4(11x-6) | 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

$$0.5(9x-6)=0.4(11x-6)$$

Solve for x

$x=6$

Steps for Solving Linear Equation

Use the distributive property to multiply $0.5$ by $9x-6$.

$$4.5x-3=0.4\left(11x-6\right)$$

Use the distributive property to multiply $0.4$ by $11x-6$.

$$4.5x-3=4.4x-2.4$$

Subtract $4.4x$ from both sides.

$$4.5x-3-4.4x=-2.4$$

Combine $4.5x$ and $-4.4x$ to get $0.1x$.

$$0.1x-3=-2.4$$

Add $3$ to both sides.

$$0.1x=-2.4+3$$

Add $-2.4$ and $3$ to get $0.6$.

$$0.1x=0.6$$

Divide both sides by $0.1$.

$$x=\frac{0.6}{0.1}$$

Expand $\frac{0.6}{0.1}$ by multiplying both numerator and the denominator by $10$. Anything divided by one gives itself.

$$x=6$$