-4x+14=-3x-7

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Solution for -4x+14=-3x-7 equation:


Simplifying
-4x + 14 = -3x + -7

Reorder the terms:
14 + -4x = -3x + -7

Reorder the terms:
14 + -4x = -7 + -3x

Solving
14 + -4x = -7 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
14 + -4x + 3x = -7 + -3x + 3x

Combine like terms: -4x + 3x = -1x
14 + -1x = -7 + -3x + 3x

Combine like terms: -3x + 3x = 0
14 + -1x = -7 + 0
14 + -1x = -7

Add '-14' to each side of the equation.
14 + -14 + -1x = -7 + -14

Combine like terms: 14 + -14 = 0
0 + -1x = -7 + -14
-1x = -7 + -14

Combine like terms: -7 + -14 = -21
-1x = -21

Divide each side by '-1'.
x = 21

Simplifying
x = 21

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