4(x-2)+(x+3)=6

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Solution for 4(x-2)+(x+3)=6 equation:


Simplifying
4(x + -2) + (x + 3) = 6

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

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

Remove parenthesis around (3 + x)
-8 + 4x + 3 + x = 6

Reorder the terms:
-8 + 3 + 4x + x = 6

Combine like terms: -8 + 3 = -5
-5 + 4x + x = 6

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

Solving
-5 + 5x = 6

Solving for variable 'x'.

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

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

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

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

Divide each side by '5'.
x = 2.2

Simplifying
x = 2.2

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