4(x+2)+2(x-3)=5

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


Simplifying
4(x + 2) + 2(x + -3) = 5

Reorder the terms:
4(2 + x) + 2(x + -3) = 5
(2 * 4 + x * 4) + 2(x + -3) = 5
(8 + 4x) + 2(x + -3) = 5

Reorder the terms:
8 + 4x + 2(-3 + x) = 5
8 + 4x + (-3 * 2 + x * 2) = 5
8 + 4x + (-6 + 2x) = 5

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

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

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

Solving
2 + 6x = 5

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + 6x = 5 + -2

Combine like terms: 2 + -2 = 0
0 + 6x = 5 + -2
6x = 5 + -2

Combine like terms: 5 + -2 = 3
6x = 3

Divide each side by '6'.
x = 0.5

Simplifying
x = 0.5

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