Solve 2T-6+3T=2(-2T+2)+8 | 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

$$2T-6+3T=2(-2T+2)+8$$

Solve for T

$T=2$

Steps for Solving Linear Equation

Combine $2T$ and $3T$ to get $5T$.

$$5T-6=2\left(-2T+2\right)+8$$

Use the distributive property to multiply $2$ by $-2T+2$.

$$5T-6=-4T+4+8$$

Add $4$ and $8$ to get $12$.

$$5T-6=-4T+12$$

Add $4T$ to both sides.

$$5T-6+4T=12$$

Combine $5T$ and $4T$ to get $9T$.

$$9T-6=12$$

Add $6$ to both sides.

$$9T=12+6$$

Add $12$ and $6$ to get $18$.

$$9T=18$$

Divide both sides by $9$.

$$T=\frac{18}{9}$$

Divide $18$ by $9$ to get $2$.

$$T=2$$