4x+14=7x-4

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


Simplifying
4x + 14 = 7x + -4

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

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

Solving
14 + 4x = -4 + 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 = -4 + 7x + -7x

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

Combine like terms: 7x + -7x = 0
14 + -3x = -4 + 0
14 + -3x = -4

Add '-14' to each side of the equation.
14 + -14 + -3x = -4 + -14

Combine like terms: 14 + -14 = 0
0 + -3x = -4 + -14
-3x = -4 + -14

Combine like terms: -4 + -14 = -18
-3x = -18

Divide each side by '-3'.
x = 6

Simplifying
x = 6

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