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

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


Simplifying
4(x + 5) + 6(5 + -1x) = 2

Reorder the terms:
4(5 + x) + 6(5 + -1x) = 2
(5 * 4 + x * 4) + 6(5 + -1x) = 2
(20 + 4x) + 6(5 + -1x) = 2
20 + 4x + (5 * 6 + -1x * 6) = 2
20 + 4x + (30 + -6x) = 2

Reorder the terms:
20 + 30 + 4x + -6x = 2

Combine like terms: 20 + 30 = 50
50 + 4x + -6x = 2

Combine like terms: 4x + -6x = -2x
50 + -2x = 2

Solving
50 + -2x = 2

Solving for variable 'x'.

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

Add '-50' to each side of the equation.
50 + -50 + -2x = 2 + -50

Combine like terms: 50 + -50 = 0
0 + -2x = 2 + -50
-2x = 2 + -50

Combine like terms: 2 + -50 = -48
-2x = -48

Divide each side by '-2'.
x = 24

Simplifying
x = 24

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