4+(3x+7)+5=2+(5x+1)

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Solution for 4+(3x+7)+5=2+(5x+1) equation:


Simplifying
4 + (3x + 7) + 5 = 2 + (5x + 1)

Reorder the terms:
4 + (7 + 3x) + 5 = 2 + (5x + 1)

Remove parenthesis around (7 + 3x)
4 + 7 + 3x + 5 = 2 + (5x + 1)

Reorder the terms:
4 + 7 + 5 + 3x = 2 + (5x + 1)

Combine like terms: 4 + 7 = 11
11 + 5 + 3x = 2 + (5x + 1)

Combine like terms: 11 + 5 = 16
16 + 3x = 2 + (5x + 1)

Reorder the terms:
16 + 3x = 2 + (1 + 5x)

Remove parenthesis around (1 + 5x)
16 + 3x = 2 + 1 + 5x

Combine like terms: 2 + 1 = 3
16 + 3x = 3 + 5x

Solving
16 + 3x = 3 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
16 + 3x + -5x = 3 + 5x + -5x

Combine like terms: 3x + -5x = -2x
16 + -2x = 3 + 5x + -5x

Combine like terms: 5x + -5x = 0
16 + -2x = 3 + 0
16 + -2x = 3

Add '-16' to each side of the equation.
16 + -16 + -2x = 3 + -16

Combine like terms: 16 + -16 = 0
0 + -2x = 3 + -16
-2x = 3 + -16

Combine like terms: 3 + -16 = -13
-2x = -13

Divide each side by '-2'.
x = 6.5

Simplifying
x = 6.5

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