4x+14=7x-16

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Solution for 4x+14=7x-16 equation:


Simplifying
4x + 14 = 7x + -16

Reorder the terms:
14 + 4x = 7x + -16

Reorder the terms:
14 + 4x = -16 + 7x

Solving
14 + 4x = -16 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
14 + 4x + -7x = -16 + 7x + -7x

Combine like terms: 4x + -7x = -3x
14 + -3x = -16 + 7x + -7x

Combine like terms: 7x + -7x = 0
14 + -3x = -16 + 0
14 + -3x = -16

Add '-14' to each side of the equation.
14 + -14 + -3x = -16 + -14

Combine like terms: 14 + -14 = 0
0 + -3x = -16 + -14
-3x = -16 + -14

Combine like terms: -16 + -14 = -30
-3x = -30

Divide each side by '-3'.
x = 10

Simplifying
x = 10

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