11x+8=14x-7

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Solution for 11x+8=14x-7 equation:


Simplifying
11x + 8 = 14x + -7

Reorder the terms:
8 + 11x = 14x + -7

Reorder the terms:
8 + 11x = -7 + 14x

Solving
8 + 11x = -7 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
8 + 11x + -14x = -7 + 14x + -14x

Combine like terms: 11x + -14x = -3x
8 + -3x = -7 + 14x + -14x

Combine like terms: 14x + -14x = 0
8 + -3x = -7 + 0
8 + -3x = -7

Add '-8' to each side of the equation.
8 + -8 + -3x = -7 + -8

Combine like terms: 8 + -8 = 0
0 + -3x = -7 + -8
-3x = -7 + -8

Combine like terms: -7 + -8 = -15
-3x = -15

Divide each side by '-3'.
x = 5

Simplifying
x = 5

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