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

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


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

Reorder the terms:
2 + 5 + x + 4x + x = 2(x + 1) + 2(x + 3)

Combine like terms: 2 + 5 = 7
7 + x + 4x + x = 2(x + 1) + 2(x + 3)

Combine like terms: x + 4x = 5x
7 + 5x + x = 2(x + 1) + 2(x + 3)

Combine like terms: 5x + x = 6x
7 + 6x = 2(x + 1) + 2(x + 3)

Reorder the terms:
7 + 6x = 2(1 + x) + 2(x + 3)
7 + 6x = (1 * 2 + x * 2) + 2(x + 3)
7 + 6x = (2 + 2x) + 2(x + 3)

Reorder the terms:
7 + 6x = 2 + 2x + 2(3 + x)
7 + 6x = 2 + 2x + (3 * 2 + x * 2)
7 + 6x = 2 + 2x + (6 + 2x)

Reorder the terms:
7 + 6x = 2 + 6 + 2x + 2x

Combine like terms: 2 + 6 = 8
7 + 6x = 8 + 2x + 2x

Combine like terms: 2x + 2x = 4x
7 + 6x = 8 + 4x

Solving
7 + 6x = 8 + 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.
7 + 6x + -4x = 8 + 4x + -4x

Combine like terms: 6x + -4x = 2x
7 + 2x = 8 + 4x + -4x

Combine like terms: 4x + -4x = 0
7 + 2x = 8 + 0
7 + 2x = 8

Add '-7' to each side of the equation.
7 + -7 + 2x = 8 + -7

Combine like terms: 7 + -7 = 0
0 + 2x = 8 + -7
2x = 8 + -7

Combine like terms: 8 + -7 = 1
2x = 1

Divide each side by '2'.
x = 0.5

Simplifying
x = 0.5

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