2x+5=4(x-2)+6

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Solution for 2x+5=4(x-2)+6 equation: 


Simplifying
2x + 5 = 4(x + -2) + 6

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

Reorder the terms:
5 + 2x = 4(-2 + x) + 6
5 + 2x = (-2 * 4 + x * 4) + 6
5 + 2x = (-8 + 4x) + 6

Reorder the terms:
5 + 2x = -8 + 6 + 4x

Combine like terms: -8 + 6 = -2
5 + 2x = -2 + 4x

Solving
5 + 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.
5 + 2x + -4x = -2 + 4x + -4x

Combine like terms: 2x + -4x = -2x
5 + -2x = -2 + 4x + -4x

Combine like terms: 4x + -4x = 0
5 + -2x = -2 + 0
5 + -2x = -2

Add '-5' to each side of the equation.
5 + -5 + -2x = -2 + -5

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

Combine like terms: -2 + -5 = -7
-2x = -7

Divide each side by '-2'.
x = 3.5

Simplifying
x = 3.5

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