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Solve |2x + 1| = 10?

User Shooky
by
7.7k points

2 Answers

6 votes
X = 4.5 just subtract 1 from 10 and divide by 2
User Abaelter
by
7.1k points
4 votes
Hey, just follow these steps:

Simplifying: 10 = (2x + 1)

Reorder the terms: 10 = (1 + 2x)

Remove parenthesis around: (1 + 2x)
10 = 1 + 2x Solving 10 = 1 + 2x

Solving: 10 = 1 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.
10 + -2x = 1 + 2x + -2x

Combine like terms: 2x + -2x = 0
10 + -2x = 1 + 0
10 + -2x = 1

Add '-10' to each side of the equation:
10 + -10 + -2x = 1 + -10

Combine like terms: 10 + -10 = 0
0 + -2x = 1 + -10
-2x = 1 + -10

Combine like terms: 1 + -10 = -9
-2x = -9

D
ivide each side by '-2'.
x = 4.5

Simplifying
x = 4.5

x = 4.5

Hope I helped : )
User Mansur Ashraf
by
7.2k points