6(x+2)+14=4(x+4)+12

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Solution for 6(x+2)+14=4(x+4)+12 equation:


Simplifying
6(x + 2) + 14 = 4(x + 4) + 12

Reorder the terms:
6(2 + x) + 14 = 4(x + 4) + 12
(2 * 6 + x * 6) + 14 = 4(x + 4) + 12
(12 + 6x) + 14 = 4(x + 4) + 12

Reorder the terms:
12 + 14 + 6x = 4(x + 4) + 12

Combine like terms: 12 + 14 = 26
26 + 6x = 4(x + 4) + 12

Reorder the terms:
26 + 6x = 4(4 + x) + 12
26 + 6x = (4 * 4 + x * 4) + 12
26 + 6x = (16 + 4x) + 12

Reorder the terms:
26 + 6x = 16 + 12 + 4x

Combine like terms: 16 + 12 = 28
26 + 6x = 28 + 4x

Solving
26 + 6x = 28 + 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.
26 + 6x + -4x = 28 + 4x + -4x

Combine like terms: 6x + -4x = 2x
26 + 2x = 28 + 4x + -4x

Combine like terms: 4x + -4x = 0
26 + 2x = 28 + 0
26 + 2x = 28

Add '-26' to each side of the equation.
26 + -26 + 2x = 28 + -26

Combine like terms: 26 + -26 = 0
0 + 2x = 28 + -26
2x = 28 + -26

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

Divide each side by '2'.
x = 1

Simplifying
x = 1

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