6(x-4)+44=4(2x+1)+2x

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Solution for 6(x-4)+44=4(2x+1)+2x equation:


Simplifying
6(x + -4) + 44 = 4(2x + 1) + 2x

Reorder the terms:
6(-4 + x) + 44 = 4(2x + 1) + 2x
(-4 * 6 + x * 6) + 44 = 4(2x + 1) + 2x
(-24 + 6x) + 44 = 4(2x + 1) + 2x

Reorder the terms:
-24 + 44 + 6x = 4(2x + 1) + 2x

Combine like terms: -24 + 44 = 20
20 + 6x = 4(2x + 1) + 2x

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

Combine like terms: 8x + 2x = 10x
20 + 6x = 4 + 10x

Solving
20 + 6x = 4 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
20 + 6x + -10x = 4 + 10x + -10x

Combine like terms: 6x + -10x = -4x
20 + -4x = 4 + 10x + -10x

Combine like terms: 10x + -10x = 0
20 + -4x = 4 + 0
20 + -4x = 4

Add '-20' to each side of the equation.
20 + -20 + -4x = 4 + -20

Combine like terms: 20 + -20 = 0
0 + -4x = 4 + -20
-4x = 4 + -20

Combine like terms: 4 + -20 = -16
-4x = -16

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

Simplifying
x = 4

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