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Solve for [tex]\( x \)[/tex]:
[tex]\[ 2x - 6 = x + 10 \][/tex]

Sagot :

GinnyAnswer
Alright, let’s solve the equation step-by-step:

Given equation:

[tex]\[ 2x - 6 = x + 10 \][/tex]

1. Isolate [tex]\(x\)[/tex]:

To do this, we first want to move all the terms involving [tex]\(x\)[/tex] onto one side of the equation and the constant terms (numbers without [tex]\(x\)[/tex]) onto the other side.

2. Subtract [tex]\(x\)[/tex] from both sides:

[tex]\[ 2x - 6 - x = x + 10 - x \][/tex]

This simplifies to:

[tex]\[ x - 6 = 10 \][/tex]

3. Add 6 to both sides:

[tex]\[ x - 6 + 6 = 10 + 6 \][/tex]

This simplifies to:

[tex]\[ x = 16 \][/tex]

So, the solution to the equation [tex]\(2x - 6 = x + 10\)[/tex] is:

[tex]\[ x = 16 \][/tex]

This is the value of [tex]\(x\)[/tex] that satisfies the given equation.
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