Solve 6(1 - 4x) + 7(2 + 5x) = 53 | 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

$$6(1-4x)+7(2+5x)=53$$

Solve for x

$x=3$

Steps for Solving Linear Equation

Use the distributive property to multiply $6$ by $1-4x$.

$$6-24x+7\left(2+5x\right)=53$$

Use the distributive property to multiply $7$ by $2+5x$.

$$6-24x+14+35x=53$$

Add $6$ and $14$ to get $20$.

$$20-24x+35x=53$$

Combine $-24x$ and $35x$ to get $11x$.

$$20+11x=53$$

Subtract $20$ from both sides.

$$11x=53-20$$

Subtract $20$ from $53$ to get $33$.

$$11x=33$$

Divide both sides by $11$.

$$x=\frac{33}{11}$$

Divide $33$ by $11$ to get $3$.

$$x=3$$