4(X-2)+11=3(2X-2)+8

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Solution for 4(X-2)+11=3(2X-2)+8 equation:


Simplifying
4(X + -2) + 11 = 3(2X + -2) + 8

Reorder the terms:
4(-2 + X) + 11 = 3(2X + -2) + 8
(-2 * 4 + X * 4) + 11 = 3(2X + -2) + 8
(-8 + 4X) + 11 = 3(2X + -2) + 8

Reorder the terms:
-8 + 11 + 4X = 3(2X + -2) + 8

Combine like terms: -8 + 11 = 3
3 + 4X = 3(2X + -2) + 8

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

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

Combine like terms: -6 + 8 = 2
3 + 4X = 2 + 6X

Solving
3 + 4X = 2 + 6X

Solving for variable 'X'.

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

Add '-6X' to each side of the equation.
3 + 4X + -6X = 2 + 6X + -6X

Combine like terms: 4X + -6X = -2X
3 + -2X = 2 + 6X + -6X

Combine like terms: 6X + -6X = 0
3 + -2X = 2 + 0
3 + -2X = 2

Add '-3' to each side of the equation.
3 + -3 + -2X = 2 + -3

Combine like terms: 3 + -3 = 0
0 + -2X = 2 + -3
-2X = 2 + -3

Combine like terms: 2 + -3 = -1
-2X = -1

Divide each side by '-2'.
X = 0.5

Simplifying
X = 0.5

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