4(2x+1)-27=3(2x-5)

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Solution for 4(2x+1)-27=3(2x-5) equation:


Simplifying
4(2x + 1) + -27 = 3(2x + -5)

Reorder the terms:
4(1 + 2x) + -27 = 3(2x + -5)
(1 * 4 + 2x * 4) + -27 = 3(2x + -5)
(4 + 8x) + -27 = 3(2x + -5)

Reorder the terms:
4 + -27 + 8x = 3(2x + -5)

Combine like terms: 4 + -27 = -23
-23 + 8x = 3(2x + -5)

Reorder the terms:
-23 + 8x = 3(-5 + 2x)
-23 + 8x = (-5 * 3 + 2x * 3)
-23 + 8x = (-15 + 6x)

Solving
-23 + 8x = -15 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-23 + 8x + -6x = -15 + 6x + -6x

Combine like terms: 8x + -6x = 2x
-23 + 2x = -15 + 6x + -6x

Combine like terms: 6x + -6x = 0
-23 + 2x = -15 + 0
-23 + 2x = -15

Add '23' to each side of the equation.
-23 + 23 + 2x = -15 + 23

Combine like terms: -23 + 23 = 0
0 + 2x = -15 + 23
2x = -15 + 23

Combine like terms: -15 + 23 = 8
2x = 8

Divide each side by '2'.
x = 4

Simplifying
x = 4

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