Question

Solve the equation algebraically without using a calculator.

$3x-4=6x+5$

Solution

VerifiedStep 1

1 of 2Isolate the variable by using different properties of equality.

Add 4 to both sides:

$3x-4+4=6x+5+4$

$3x=6x+9$

Subtract $6x$ from both sides:

$3x-6x=6x+9-6x$

$-3x=9$

Divide both sides by $-3$:

$\dfrac{-3x}{-3}=\dfrac{9}{-3}$

$\color{#c34632}x=-3\color{white}\tag{1}$

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