Answered

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Solve:
[tex]\[ 6x - 5 = 13 - 3x \][/tex]

Sagot :

GinnyAnswer
To solve the equation \(6x - 5 = 13 - 3x\), follow these steps:

1. Move all \(x\) terms to one side of the equation:
[tex]\[ 6x + 3x - 5 = 13 \][/tex]

2. Combine like terms:
[tex]\[ 9x - 5 = 13 \][/tex]

3. Move the constants to the other side of the equation:
[tex]\[ 9x - 5 + 5 = 13 + 5 \][/tex]

4. Simplify the constants:
[tex]\[ 9x = 18 \][/tex]

5. Divide both sides of the equation by 9 to solve for \(x\):
[tex]\[ x = \frac{18}{9} \][/tex]

6. Simplify the fraction:
[tex]\[ x = 2 \][/tex]

Therefore, the solution to the equation [tex]\(6x - 5 = 13 - 3x\)[/tex] is [tex]\(x = 2\)[/tex].
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