Solve 3x-(8-x)=3+[2x-(1-x)] | 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

$$3x-(8-x)=3+[2x-(1-x)]$$

Solve for x

$x=10$

Steps for Solving Linear Equation

To find the opposite of $8-x$, find the opposite of each term.

$$3x-8-\left(-x\right)=3+2x-\left(1-x\right)$$

The opposite of $-x$ is $x$.

$$3x-8+x=3+2x-\left(1-x\right)$$

Combine $3x$ and $x$ to get $4x$.

$$4x-8=3+2x-\left(1-x\right)$$

To find the opposite of $1-x$, find the opposite of each term.

$$4x-8=3+2x-1-\left(-x\right)$$

The opposite of $-x$ is $x$.

$$4x-8=3+2x-1+x$$

Subtract $1$ from $3$ to get $2$.

$$4x-8=2+2x+x$$

Combine $2x$ and $x$ to get $3x$.

$$4x-8=2+3x$$

Subtract $3x$ from both sides.

$$4x-8-3x=2$$

Combine $4x$ and $-3x$ to get $x$.

$$x-8=2$$

Add $8$ to both sides.

$$x=2+8$$

Add $2$ and $8$ to get $10$.

$$x=10$$