14-5x=-4(x-3)+6

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Solution for 14-5x=-4(x-3)+6 equation:


Simplifying
14 + -5x = -4(x + -3) + 6

Reorder the terms:
14 + -5x = -4(-3 + x) + 6
14 + -5x = (-3 * -4 + x * -4) + 6
14 + -5x = (12 + -4x) + 6

Reorder the terms:
14 + -5x = 12 + 6 + -4x

Combine like terms: 12 + 6 = 18
14 + -5x = 18 + -4x

Solving
14 + -5x = 18 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
14 + -5x + 4x = 18 + -4x + 4x

Combine like terms: -5x + 4x = -1x
14 + -1x = 18 + -4x + 4x

Combine like terms: -4x + 4x = 0
14 + -1x = 18 + 0
14 + -1x = 18

Add '-14' to each side of the equation.
14 + -14 + -1x = 18 + -14

Combine like terms: 14 + -14 = 0
0 + -1x = 18 + -14
-1x = 18 + -14

Combine like terms: 18 + -14 = 4
-1x = 4

Divide each side by '-1'.
x = -4

Simplifying
x = -4

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