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

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


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

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

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

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

Reorder the terms:
-5 + 4x = 3(2 + x)
-5 + 4x = (2 * 3 + x * 3)
-5 + 4x = (6 + 3x)

Solving
-5 + 4x = 6 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-5 + 4x + -3x = 6 + 3x + -3x

Combine like terms: 4x + -3x = 1x
-5 + 1x = 6 + 3x + -3x

Combine like terms: 3x + -3x = 0
-5 + 1x = 6 + 0
-5 + 1x = 6

Add '5' to each side of the equation.
-5 + 5 + 1x = 6 + 5

Combine like terms: -5 + 5 = 0
0 + 1x = 6 + 5
1x = 6 + 5

Combine like terms: 6 + 5 = 11
1x = 11

Divide each side by '1'.
x = 11

Simplifying
x = 11

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