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

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


Simplifying
2 + -7[2(3 + x) + -4(x + 2)] = 14
2 + -7[(3 * 2 + x * 2) + -4(x + 2)] = 14
2 + -7[(6 + 2x) + -4(x + 2)] = 14

Reorder the terms:
2 + -7[6 + 2x + -4(2 + x)] = 14
2 + -7[6 + 2x + (2 * -4 + x * -4)] = 14
2 + -7[6 + 2x + (-8 + -4x)] = 14

Reorder the terms:
2 + -7[6 + -8 + 2x + -4x] = 14

Combine like terms: 6 + -8 = -2
2 + -7[-2 + 2x + -4x] = 14

Combine like terms: 2x + -4x = -2x
2 + -7[-2 + -2x] = 14
2 + [-2 * -7 + -2x * -7] = 14
2 + [14 + 14x] = 14

Combine like terms: 2 + 14 = 16
16 + 14x = 14

Solving
16 + 14x = 14

Solving for variable 'x'.

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

Add '-16' to each side of the equation.
16 + -16 + 14x = 14 + -16

Combine like terms: 16 + -16 = 0
0 + 14x = 14 + -16
14x = 14 + -16

Combine like terms: 14 + -16 = -2
14x = -2

Divide each side by '14'.
x = -0.1428571429

Simplifying
x = -0.1428571429

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