3+(2x-1)=4-(7x+9)

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Solution for 3+(2x-1)=4-(7x+9) equation:


Simplifying
3 + (2x + -1) = 4 + -1(7x + 9)

Reorder the terms:
3 + (-1 + 2x) = 4 + -1(7x + 9)

Remove parenthesis around (-1 + 2x)
3 + -1 + 2x = 4 + -1(7x + 9)

Combine like terms: 3 + -1 = 2
2 + 2x = 4 + -1(7x + 9)

Reorder the terms:
2 + 2x = 4 + -1(9 + 7x)
2 + 2x = 4 + (9 * -1 + 7x * -1)
2 + 2x = 4 + (-9 + -7x)

Combine like terms: 4 + -9 = -5
2 + 2x = -5 + -7x

Solving
2 + 2x = -5 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
2 + 2x + 7x = -5 + -7x + 7x

Combine like terms: 2x + 7x = 9x
2 + 9x = -5 + -7x + 7x

Combine like terms: -7x + 7x = 0
2 + 9x = -5 + 0
2 + 9x = -5

Add '-2' to each side of the equation.
2 + -2 + 9x = -5 + -2

Combine like terms: 2 + -2 = 0
0 + 9x = -5 + -2
9x = -5 + -2

Combine like terms: -5 + -2 = -7
9x = -7

Divide each side by '9'.
x = -0.7777777778

Simplifying
x = -0.7777777778

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