Question

Solve and verify: 3x – 2 = 4x +8​

Answer 1

Answer:

-2 = x + 8

x = -10

verification:-

3.(-10) -2 = 4(-10) + 8

-30 -2 = -40 + 8

-32 = -32

0 = 0

Hence verified

Answer 2

answer-

Simplifying

3x + -2 = 4x + -8

Reorder the terms:

-2 + 3x = 4x + -8

Reorder the terms:

-2 + 3x = -8 + 4x

Solving

-2 + 3x = -8 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.

-2 + 3x + -4x = -8 + 4x + -4x

Combine like terms: 3x + -4x = -1x

-2 + -1x = -8 + 4x + -4x

Combine like terms: 4x + -4x = 0

-2 + -1x = -8 + 0

-2 + -1x = -8

Add '2' to each side of the equation.

-2 + 2 + -1x = -8 + 2

Combine like terms: -2 + 2 = 0

0 + -1x = -8 + 2

-1x = -8 + 2

Combine like terms: -8 + 2 = -6

-1x = -6

Divide each side by '-1'.

x = 6

Simplifying

x = 6

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