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

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


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

Reorder the terms:
2(3 + 4x) + 2 = 4(x + 1)
(3 * 2 + 4x * 2) + 2 = 4(x + 1)
(6 + 8x) + 2 = 4(x + 1)

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

Combine like terms: 6 + 2 = 8
8 + 8x = 4(x + 1)

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

Solving
8 + 8x = 4 + 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.
8 + 8x + -4x = 4 + 4x + -4x

Combine like terms: 8x + -4x = 4x
8 + 4x = 4 + 4x + -4x

Combine like terms: 4x + -4x = 0
8 + 4x = 4 + 0
8 + 4x = 4

Add '-8' to each side of the equation.
8 + -8 + 4x = 4 + -8

Combine like terms: 8 + -8 = 0
0 + 4x = 4 + -8
4x = 4 + -8

Combine like terms: 4 + -8 = -4
4x = -4

Divide each side by '4'.
x = -1

Simplifying
x = -1

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