Solve 6(6x - 5) - 5(7x - 8) = 12(4 - x) + 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

$$6(6x-5)-5(7x-8)=12(4-x)+1$$

Solve for x

$x=3$

Steps for Solving Linear Equation

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

$$36x-30-5\left(7x-8\right)=12\left(4-x\right)+1$$

Use the distributive property to multiply $-5$ by $7x-8$.

$$36x-30-35x+40=12\left(4-x\right)+1$$

Combine $36x$ and $-35x$ to get $x$.

$$x-30+40=12\left(4-x\right)+1$$

Add $-30$ and $40$ to get $10$.

$$x+10=12\left(4-x\right)+1$$

Use the distributive property to multiply $12$ by $4-x$.

$$x+10=48-12x+1$$

Add $48$ and $1$ to get $49$.

$$x+10=49-12x$$

Add $12x$ to both sides.

$$x+10+12x=49$$

Combine $x$ and $12x$ to get $13x$.

$$13x+10=49$$

Subtract $10$ from both sides.

$$13x=49-10$$

Subtract $10$ from $49$ to get $39$.

$$13x=39$$

Divide both sides by $13$.

$$x=\frac{39}{13}$$

Divide $39$ by $13$ to get $3$.

$$x=3$$