11(X-4)+3X=7(2x+2)-10

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Solution for 11(X-4)+3X=7(2x+2)-10 equation:


Simplifying
11(X + -4) + 3X = 7(2x + 2) + -10

Reorder the terms:
11(-4 + X) + 3X = 7(2x + 2) + -10
(-4 * 11 + X * 11) + 3X = 7(2x + 2) + -10
(-44 + 11X) + 3X = 7(2x + 2) + -10

Combine like terms: 11X + 3X = 14X
-44 + 14X = 7(2x + 2) + -10

Reorder the terms:
-44 + 14X = 7(2 + 2x) + -10
-44 + 14X = (2 * 7 + 2x * 7) + -10
-44 + 14X = (14 + 14x) + -10

Reorder the terms:
-44 + 14X = 14 + -10 + 14x

Combine like terms: 14 + -10 = 4
-44 + 14X = 4 + 14x

Solving
-44 + 14X = 4 + 14x

Solving for variable 'X'.

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

Add '44' to each side of the equation.
-44 + 44 + 14X = 4 + 44 + 14x

Combine like terms: -44 + 44 = 0
0 + 14X = 4 + 44 + 14x
14X = 4 + 44 + 14x

Combine like terms: 4 + 44 = 48
14X = 48 + 14x

Divide each side by '14'.
X = 3.428571429 + x

Simplifying
X = 3.428571429 + x

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