Answer :
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].
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].
