3+4x+7=14-3(20-x)

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Solution for 3+4x+7=14-3(20-x) equation:


Simplifying
3 + 4x + 7 = 14 + -3(20 + -1x)

Reorder the terms:
3 + 7 + 4x = 14 + -3(20 + -1x)

Combine like terms: 3 + 7 = 10
10 + 4x = 14 + -3(20 + -1x)
10 + 4x = 14 + (20 * -3 + -1x * -3)
10 + 4x = 14 + (-60 + 3x)

Combine like terms: 14 + -60 = -46
10 + 4x = -46 + 3x

Solving
10 + 4x = -46 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
10 + 4x + -3x = -46 + 3x + -3x

Combine like terms: 4x + -3x = 1x
10 + 1x = -46 + 3x + -3x

Combine like terms: 3x + -3x = 0
10 + 1x = -46 + 0
10 + 1x = -46

Add '-10' to each side of the equation.
10 + -10 + 1x = -46 + -10

Combine like terms: 10 + -10 = 0
0 + 1x = -46 + -10
1x = -46 + -10

Combine like terms: -46 + -10 = -56
1x = -56

Divide each side by '1'.
x = -56

Simplifying
x = -56

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