Solve (5x+5)+(2x+3)+(3x+4)=12-7x | 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

$$(5x+5)+(2x+3)+(3x+4)=12-7x$$

Solve for x

$x=0$

Steps for Solving Linear Equation

Combine $5x$ and $2x$ to get $7x$.

$$7x+5+3+3x+4=12-7x$$

Add $5$ and $3$ to get $8$.

$$7x+8+3x+4=12-7x$$

Combine $7x$ and $3x$ to get $10x$.

$$10x+8+4=12-7x$$

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

$$10x+12=12-7x$$

Add $7x$ to both sides.

$$10x+12+7x=12$$

Combine $10x$ and $7x$ to get $17x$.

$$17x+12=12$$

Subtract $12$ from both sides.

$$17x=12-12$$

Subtract $12$ from $12$ to get $0$.

$$17x=0$$

Product of two numbers is equal to $0$ if at least one of them is $0$. Since $17$ is not equal to $0$, $x$ must be equal to $0$.

$$x=0$$