2(x-3)+4(x+1)=25

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Solution for 2(x-3)+4(x+1)=25 equation: 


Simplifying
2(x + -3) + 4(x + 1) = 25

Reorder the terms:
2(-3 + x) + 4(x + 1) = 25
(-3 * 2 + x * 2) + 4(x + 1) = 25
(-6 + 2x) + 4(x + 1) = 25

Reorder the terms:
-6 + 2x + 4(1 + x) = 25
-6 + 2x + (1 * 4 + x * 4) = 25
-6 + 2x + (4 + 4x) = 25

Reorder the terms:
-6 + 4 + 2x + 4x = 25

Combine like terms: -6 + 4 = -2
-2 + 2x + 4x = 25

Combine like terms: 2x + 4x = 6x
-2 + 6x = 25

Solving
-2 + 6x = 25

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 = 25 + 2

Combine like terms: -2 + 2 = 0
0 + 6x = 25 + 2
6x = 25 + 2

Combine like terms: 25 + 2 = 27
6x = 27

Divide each side by '6'.
x = 4.5

Simplifying
x = 4.5

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