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

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


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

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

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

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

Solving
3 + 4x = 9 + -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.
3 + 4x + 7x = 9 + -7x + 7x

Combine like terms: 4x + 7x = 11x
3 + 11x = 9 + -7x + 7x

Combine like terms: -7x + 7x = 0
3 + 11x = 9 + 0
3 + 11x = 9

Add '-3' to each side of the equation.
3 + -3 + 11x = 9 + -3

Combine like terms: 3 + -3 = 0
0 + 11x = 9 + -3
11x = 9 + -3

Combine like terms: 9 + -3 = 6
11x = 6

Divide each side by '11'.
x = 0.5454545455

Simplifying
x = 0.5454545455

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