Question

Solve the equation.

2x − 3 + 4x = 21
x = −12
x = −6
x = 4
x = 6

Answer 1

Simplifying
6x + 3 = 4x + 21

Reorder the terms:
3 + 6x = 4x + 21

Reorder the terms:
3 + 6x = 21 + 4x

Solving
3 + 6x = 21 + 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.
3 + 6x + -4x = 21 + 4x + -4x

Combine like terms: 6x + -4x = 2x
3 + 2x = 21 + 4x + -4x

Combine like terms: 4x + -4x = 0
3 + 2x = 21 + 0
3 + 2x = 21

Add '-3' to each side of the equation.
3 + -3 + 2x = 21 + -3

Combine like terms: 3 + -3 = 0
0 + 2x = 21 + -3
2x = 21 + -3

Combine like terms: 21 + -3 = 18
2x = 18

Answer 2

1 Simplify 2x−3+4x to 6x−3
6x−3=21

2 Add 3 to both sides
6x=21+3

3 Simplify 21+3 to 24
6x=24

4 Divide both sides by 6
x=246

5 Simplify 246 to 4
x=4

Answer 3

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