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

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


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

Reorder the terms:
2(3 + x) + 7 = 4(x + 1) + -2
(3 * 2 + x * 2) + 7 = 4(x + 1) + -2
(6 + 2x) + 7 = 4(x + 1) + -2

Reorder the terms:
6 + 7 + 2x = 4(x + 1) + -2

Combine like terms: 6 + 7 = 13
13 + 2x = 4(x + 1) + -2

Reorder the terms:
13 + 2x = 4(1 + x) + -2
13 + 2x = (1 * 4 + x * 4) + -2
13 + 2x = (4 + 4x) + -2

Reorder the terms:
13 + 2x = 4 + -2 + 4x

Combine like terms: 4 + -2 = 2
13 + 2x = 2 + 4x

Solving
13 + 2x = 2 + 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.
13 + 2x + -4x = 2 + 4x + -4x

Combine like terms: 2x + -4x = -2x
13 + -2x = 2 + 4x + -4x

Combine like terms: 4x + -4x = 0
13 + -2x = 2 + 0
13 + -2x = 2

Add '-13' to each side of the equation.
13 + -13 + -2x = 2 + -13

Combine like terms: 13 + -13 = 0
0 + -2x = 2 + -13
-2x = 2 + -13

Combine like terms: 2 + -13 = -11
-2x = -11

Divide each side by '-2'.
x = 5.5

Simplifying
x = 5.5

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