5x+20=2(4x+1)+6

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Solution for 5x+20=2(4x+1)+6 equation:


Simplifying
5x + 20 = 2(4x + 1) + 6

Reorder the terms:
20 + 5x = 2(4x + 1) + 6

Reorder the terms:
20 + 5x = 2(1 + 4x) + 6
20 + 5x = (1 * 2 + 4x * 2) + 6
20 + 5x = (2 + 8x) + 6

Reorder the terms:
20 + 5x = 2 + 6 + 8x

Combine like terms: 2 + 6 = 8
20 + 5x = 8 + 8x

Solving
20 + 5x = 8 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
20 + 5x + -8x = 8 + 8x + -8x

Combine like terms: 5x + -8x = -3x
20 + -3x = 8 + 8x + -8x

Combine like terms: 8x + -8x = 0
20 + -3x = 8 + 0
20 + -3x = 8

Add '-20' to each side of the equation.
20 + -20 + -3x = 8 + -20

Combine like terms: 20 + -20 = 0
0 + -3x = 8 + -20
-3x = 8 + -20

Combine like terms: 8 + -20 = -12
-3x = -12

Divide each side by '-3'.
x = 4

Simplifying
x = 4

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