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

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


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

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

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

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

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

Reorder the terms:
8 + 2x = -8 + 1 + 4x

Combine like terms: -8 + 1 = -7
8 + 2x = -7 + 4x

Solving
8 + 2x = -7 + 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 + 2x + -4x = -7 + 4x + -4x

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

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

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

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

Combine like terms: -7 + -8 = -15
-2x = -15

Divide each side by '-2'.
x = 7.5

Simplifying
x = 7.5

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