Solve 4(3 - x) - 0.6(2x - 3) = 0 + 27 | 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

$$2.4 ( 3 - x ) - 0.6 ( 2 x - 3 ) = 0$$

Solve for x

$x=2.5$

Steps for Solving Linear Equation

Use the distributive property to multiply $2.4$ by $3-x$.

$$7.2-2.4x-0.6\left(2x-3\right)=0$$

Use the distributive property to multiply $-0.6$ by $2x-3$.

$$7.2-2.4x-1.2x+1.8=0$$

Combine $-2.4x$ and $-1.2x$ to get $-3.6x$.

$$7.2-3.6x+1.8=0$$

Add $7.2$ and $1.8$ to get $9$.

$$9-3.6x=0$$

Subtract $9$ from both sides. Anything subtracted from zero gives its negation.

$$-3.6x=-9$$

Divide both sides by $-3.6$.

$$x=\frac{-9}{-3.6}$$

Expand $\frac{-9}{-3.6}$ by multiplying both numerator and the denominator by $10$.

$$x=\frac{-90}{-36}$$

Reduce the fraction $\frac{-90}{-36}$ to lowest terms by extracting and canceling out $-18$.

$$x=\frac{5}{2}$$