Question

Resolvendo a equação 7x - 15 + 3 = 4x + 9 abaixo, encontramos como resposta: ​

Answer 1

1 solution(s) found: x = 7

Step-by-step solution:

1. Simplify the expression

7x-15+3=4x+9

Simplify the arithmetic:

7x-12=4x+9

2. Group all x terms on the left side of the equation

7x-12=4x+9

Subtract 4x from both sides:

7x-12-4x=4~x+9-4x

Group like terms:

7x-4x-12=4x+9-4x

Simplify the arithmetic:

3x-12=4x+9-4x

Group like terms:

3x-12=4x-4x+9

Simplify the arithmetic:

3x-12=9

3. Group all constants on the right side of the equation

3x-12=9

Add 12 to both sides:

3x-12+12=9+12

Simplify the arithmetic:

3x=9+12

Simplify the arithmetic:

3x=21

4. Isolate the x

3x=21

Divide both sides by 3:

\frac{3x}{3}=\frac{21}{3}

Simplify the fraction:

x=\frac{21}{3}

Find the greatest common factor of the numerator and denominator:

x=\frac{7\cdot3}{1\cdot3}

Factor out and cancel the greatest common factor:

x=7