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

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


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

Reorder the terms:
4(-2 + 3x) = 7(x + -4) + 14
(-2 * 4 + 3x * 4) = 7(x + -4) + 14
(-8 + 12x) = 7(x + -4) + 14

Reorder the terms:
-8 + 12x = 7(-4 + x) + 14
-8 + 12x = (-4 * 7 + x * 7) + 14
-8 + 12x = (-28 + 7x) + 14

Reorder the terms:
-8 + 12x = -28 + 14 + 7x

Combine like terms: -28 + 14 = -14
-8 + 12x = -14 + 7x

Solving
-8 + 12x = -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.
-8 + 12x + -7x = -14 + 7x + -7x

Combine like terms: 12x + -7x = 5x
-8 + 5x = -14 + 7x + -7x

Combine like terms: 7x + -7x = 0
-8 + 5x = -14 + 0
-8 + 5x = -14

Add '8' to each side of the equation.
-8 + 8 + 5x = -14 + 8

Combine like terms: -8 + 8 = 0
0 + 5x = -14 + 8
5x = -14 + 8

Combine like terms: -14 + 8 = -6
5x = -6

Divide each side by '5'.
x = -1.2

Simplifying
x = -1.2

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