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

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


Simplifying
4(X + -5) + 6 = 2(X + -4)

Reorder the terms:
4(-5 + X) + 6 = 2(X + -4)
(-5 * 4 + X * 4) + 6 = 2(X + -4)
(-20 + 4X) + 6 = 2(X + -4)

Reorder the terms:
-20 + 6 + 4X = 2(X + -4)

Combine like terms: -20 + 6 = -14
-14 + 4X = 2(X + -4)

Reorder the terms:
-14 + 4X = 2(-4 + X)
-14 + 4X = (-4 * 2 + X * 2)
-14 + 4X = (-8 + 2X)

Solving
-14 + 4X = -8 + 2X

Solving for variable 'X'.

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

Add '-2X' to each side of the equation.
-14 + 4X + -2X = -8 + 2X + -2X

Combine like terms: 4X + -2X = 2X
-14 + 2X = -8 + 2X + -2X

Combine like terms: 2X + -2X = 0
-14 + 2X = -8 + 0
-14 + 2X = -8

Add '14' to each side of the equation.
-14 + 14 + 2X = -8 + 14

Combine like terms: -14 + 14 = 0
0 + 2X = -8 + 14
2X = -8 + 14

Combine like terms: -8 + 14 = 6
2X = 6

Divide each side by '2'.
X = 3

Simplifying
X = 3

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