2[15+3(x-1)]=4(x+7)

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Solution for 2[15+3(x-1)]=4(x+7) equation:


Simplifying
2[15 + 3(x + -1)] = 4(x + 7)

Reorder the terms:
2[15 + 3(-1 + x)] = 4(x + 7)
2[15 + (-1 * 3 + x * 3)] = 4(x + 7)
2[15 + (-3 + 3x)] = 4(x + 7)

Combine like terms: 15 + -3 = 12
2[12 + 3x] = 4(x + 7)
[12 * 2 + 3x * 2] = 4(x + 7)
[24 + 6x] = 4(x + 7)

Reorder the terms:
24 + 6x = 4(7 + x)
24 + 6x = (7 * 4 + x * 4)
24 + 6x = (28 + 4x)

Solving
24 + 6x = 28 + 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.
24 + 6x + -4x = 28 + 4x + -4x

Combine like terms: 6x + -4x = 2x
24 + 2x = 28 + 4x + -4x

Combine like terms: 4x + -4x = 0
24 + 2x = 28 + 0
24 + 2x = 28

Add '-24' to each side of the equation.
24 + -24 + 2x = 28 + -24

Combine like terms: 24 + -24 = 0
0 + 2x = 28 + -24
2x = 28 + -24

Combine like terms: 28 + -24 = 4
2x = 4

Divide each side by '2'.
x = 2

Simplifying
x = 2

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