Solve (c) 0.3(2x - 3) = 0.4x + 1.1 | 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

$$0.3 ( 2 x - 3 ) = 0.4 x + 1.1$$

Solve for x

$x=10$

Steps for Solving Linear Equation

Use the distributive property to multiply $0.3$ by $2x-3$.

$$0.6x-0.9=0.4x+1.1$$

Subtract $0.4x$ from both sides.

$$0.6x-0.9-0.4x=1.1$$

Combine $0.6x$ and $-0.4x$ to get $0.2x$.

$$0.2x-0.9=1.1$$

Add $0.9$ to both sides.

$$0.2x=1.1+0.9$$

Add $1.1$ and $0.9$ to get $2$.

$$0.2x=2$$

Divide both sides by $0.2$.

$$x=\frac{2}{0.2}$$

Expand $\frac{2}{0.2}$ by multiplying both numerator and the denominator by $10$.

$$x=\frac{20}{2}$$

Divide $20$ by $2$ to get $10$.

$$x=10$$