-14=-3(x-2)+7(x-4)

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Solution for -14=-3(x-2)+7(x-4) equation:


Simplifying
-14 = -3(x + -2) + 7(x + -4)

Reorder the terms:
-14 = -3(-2 + x) + 7(x + -4)
-14 = (-2 * -3 + x * -3) + 7(x + -4)
-14 = (6 + -3x) + 7(x + -4)

Reorder the terms:
-14 = 6 + -3x + 7(-4 + x)
-14 = 6 + -3x + (-4 * 7 + x * 7)
-14 = 6 + -3x + (-28 + 7x)

Reorder the terms:
-14 = 6 + -28 + -3x + 7x

Combine like terms: 6 + -28 = -22
-14 = -22 + -3x + 7x

Combine like terms: -3x + 7x = 4x
-14 = -22 + 4x

Solving
-14 = -22 + 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 + -4x = -22 + 4x + -4x

Combine like terms: 4x + -4x = 0
-14 + -4x = -22 + 0
-14 + -4x = -22

Add '14' to each side of the equation.
-14 + 14 + -4x = -22 + 14

Combine like terms: -14 + 14 = 0
0 + -4x = -22 + 14
-4x = -22 + 14

Combine like terms: -22 + 14 = -8
-4x = -8

Divide each side by '-4'.
x = 2

Simplifying
x = 2

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