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

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


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

Reorder the terms:
-3(-4 + x) = -7x + 14
(-4 * -3 + x * -3) = -7x + 14
(12 + -3x) = -7x + 14

Reorder the terms:
12 + -3x = 14 + -7x

Solving
12 + -3x = 14 + -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.
12 + -3x + 7x = 14 + -7x + 7x

Combine like terms: -3x + 7x = 4x
12 + 4x = 14 + -7x + 7x

Combine like terms: -7x + 7x = 0
12 + 4x = 14 + 0
12 + 4x = 14

Add '-12' to each side of the equation.
12 + -12 + 4x = 14 + -12

Combine like terms: 12 + -12 = 0
0 + 4x = 14 + -12
4x = 14 + -12

Combine like terms: 14 + -12 = 2
4x = 2

Divide each side by '4'.
x = 0.5

Simplifying
x = 0.5

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