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

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


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

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

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

Combine like terms: -12 + 14 = 2
2 + 4x = 2(7x + 14)

Reorder the terms:
2 + 4x = 2(14 + 7x)
2 + 4x = (14 * 2 + 7x * 2)
2 + 4x = (28 + 14x)

Solving
2 + 4x = 28 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
2 + 4x + -14x = 28 + 14x + -14x

Combine like terms: 4x + -14x = -10x
2 + -10x = 28 + 14x + -14x

Combine like terms: 14x + -14x = 0
2 + -10x = 28 + 0
2 + -10x = 28

Add '-2' to each side of the equation.
2 + -2 + -10x = 28 + -2

Combine like terms: 2 + -2 = 0
0 + -10x = 28 + -2
-10x = 28 + -2

Combine like terms: 28 + -2 = 26
-10x = 26

Divide each side by '-10'.
x = -2.6

Simplifying
x = -2.6

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