4x+7=14x-5

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Solution for 4x+7=14x-5 equation:


Simplifying
4x + 7 = 14x + -5

Reorder the terms:
7 + 4x = 14x + -5

Reorder the terms:
7 + 4x = -5 + 14x

Solving
7 + 4x = -5 + 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.
7 + 4x + -14x = -5 + 14x + -14x

Combine like terms: 4x + -14x = -10x
7 + -10x = -5 + 14x + -14x

Combine like terms: 14x + -14x = 0
7 + -10x = -5 + 0
7 + -10x = -5

Add '-7' to each side of the equation.
7 + -7 + -10x = -5 + -7

Combine like terms: 7 + -7 = 0
0 + -10x = -5 + -7
-10x = -5 + -7

Combine like terms: -5 + -7 = -12
-10x = -12

Divide each side by '-10'.
x = 1.2

Simplifying
x = 1.2

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