14(X-8)+X=6(X-3)+7X

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Solution for 14(X-8)+X=6(X-3)+7X equation: 


Simplifying
14(X + -8) + X = 6(X + -3) + 7X

Reorder the terms:
14(-8 + X) + X = 6(X + -3) + 7X
(-8 * 14 + X * 14) + X = 6(X + -3) + 7X
(-112 + 14X) + X = 6(X + -3) + 7X

Combine like terms: 14X + X = 15X
-112 + 15X = 6(X + -3) + 7X

Reorder the terms:
-112 + 15X = 6(-3 + X) + 7X
-112 + 15X = (-3 * 6 + X * 6) + 7X
-112 + 15X = (-18 + 6X) + 7X

Combine like terms: 6X + 7X = 13X
-112 + 15X = -18 + 13X

Solving
-112 + 15X = -18 + 13X

Solving for variable 'X'.

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

Add '-13X' to each side of the equation.
-112 + 15X + -13X = -18 + 13X + -13X

Combine like terms: 15X + -13X = 2X
-112 + 2X = -18 + 13X + -13X

Combine like terms: 13X + -13X = 0
-112 + 2X = -18 + 0
-112 + 2X = -18

Add '112' to each side of the equation.
-112 + 112 + 2X = -18 + 112

Combine like terms: -112 + 112 = 0
0 + 2X = -18 + 112
2X = -18 + 112

Combine like terms: -18 + 112 = 94
2X = 94

Divide each side by '2'.
X = 47

Simplifying
X = 47

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