Solve 7(2x-1)-3x <= 2(x+1)-9 | 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

$$7(2x-1)-3x \leq 2(x+1)-9$$

Solve for x

$x\leq 0$

Solution Steps

Use the distributive property to multiply $7$ by $2x-1$.

$$14x-7-3x\leq 2\left(x+1\right)-9$$

Combine $14x$ and $-3x$ to get $11x$.

$$11x-7\leq 2\left(x+1\right)-9$$

Use the distributive property to multiply $2$ by $x+1$.

$$11x-7\leq 2x+2-9$$

Subtract $9$ from $2$ to get $-7$.

$$11x-7\leq 2x-7$$

Subtract $2x$ from both sides.

$$11x-7-2x\leq -7$$

Combine $11x$ and $-2x$ to get $9x$.

$$9x-7\leq -7$$

Add $7$ to both sides.

$$9x\leq -7+7$$

Add $-7$ and $7$ to get $0$.

$$9x\leq 0$$

Product of two numbers is $≤0$ if one is $≥0$ and the other is $≤0$. Since $9\geq 0$, $x$ must be $≤0$.

$$x\leq 0$$