Question

Solve for x: 2(3x + 4) - 3(x - 1) = x - 1 x =

Answer 1

Answer:

Simplifying

2(3x + -4) + -3(x + -1) = x + -1

Reorder the terms:

2(-4 + 3x) + -3(x + -1) = x + -1

(-4 * 2 + 3x * 2) + -3(x + -1) = x + -1

(-8 + 6x) + -3(x + -1) = x + -1

Reorder the terms:

-8 + 6x + -3(-1 + x) = x + -1

-8 + 6x + (-1 * -3 + x * -3) = x + -1

-8 + 6x + (3 + -3x) = x + -1

Reorder the terms:

-8 + 3 + 6x + -3x = x + -1

Combine like terms: -8 + 3 = -5

-5 + 6x + -3x = x + -1

Combine like terms: 6x + -3x = 3x

-5 + 3x = x + -1

Reorder the terms:

-5 + 3x = -1 + x

Solving

-5 + 3x = -1 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.

-5 + 3x + -1x = -1 + x + -1x

Combine like terms: 3x + -1x = 2x

-5 + 2x = -1 + x + -1x

Combine like terms: x + -1x = 0

-5 + 2x = -1 + 0

-5 + 2x = -1

Add '5' to each side of the equation.

-5 + 5 + 2x = -1 + 5

Combine like terms: -5 + 5 = 0

0 + 2x = -1 + 5

2x = -1 + 5

Combine like terms: -1 + 5 = 4

2x = 4

Divide each side by '2'.

x = 2

Simplifying

x = 2

Answer 2

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