2+3x=4(-x+7)-47

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Solution for 2+3x=4(-x+7)-47 equation:


Simplifying
2 + 3x = 4(-1x + 7) + -47

Reorder the terms:
2 + 3x = 4(7 + -1x) + -47
2 + 3x = (7 * 4 + -1x * 4) + -47
2 + 3x = (28 + -4x) + -47

Reorder the terms:
2 + 3x = 28 + -47 + -4x

Combine like terms: 28 + -47 = -19
2 + 3x = -19 + -4x

Solving
2 + 3x = -19 + -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.
2 + 3x + 4x = -19 + -4x + 4x

Combine like terms: 3x + 4x = 7x
2 + 7x = -19 + -4x + 4x

Combine like terms: -4x + 4x = 0
2 + 7x = -19 + 0
2 + 7x = -19

Add '-2' to each side of the equation.
2 + -2 + 7x = -19 + -2

Combine like terms: 2 + -2 = 0
0 + 7x = -19 + -2
7x = -19 + -2

Combine like terms: -19 + -2 = -21
7x = -21

Divide each side by '7'.
x = -3

Simplifying
x = -3

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