2(3x-5)=4(5-x)+6

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Solution for 2(3x-5)=4(5-x)+6 equation:


Simplifying
2(3x + -5) = 4(5 + -1x) + 6

Reorder the terms:
2(-5 + 3x) = 4(5 + -1x) + 6
(-5 * 2 + 3x * 2) = 4(5 + -1x) + 6
(-10 + 6x) = 4(5 + -1x) + 6
-10 + 6x = (5 * 4 + -1x * 4) + 6
-10 + 6x = (20 + -4x) + 6

Reorder the terms:
-10 + 6x = 20 + 6 + -4x

Combine like terms: 20 + 6 = 26
-10 + 6x = 26 + -4x

Solving
-10 + 6x = 26 + -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.
-10 + 6x + 4x = 26 + -4x + 4x

Combine like terms: 6x + 4x = 10x
-10 + 10x = 26 + -4x + 4x

Combine like terms: -4x + 4x = 0
-10 + 10x = 26 + 0
-10 + 10x = 26

Add '10' to each side of the equation.
-10 + 10 + 10x = 26 + 10

Combine like terms: -10 + 10 = 0
0 + 10x = 26 + 10
10x = 26 + 10

Combine like terms: 26 + 10 = 36
10x = 36

Divide each side by '10'.
x = 3.6

Simplifying
x = 3.6

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