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

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


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

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

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

Combine like terms: 2 + 9 = 11
3 + 7x = 11 + -4x

Solving
3 + 7x = 11 + -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.
3 + 7x + 4x = 11 + -4x + 4x

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

Combine like terms: -4x + 4x = 0
3 + 11x = 11 + 0
3 + 11x = 11

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

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

Combine like terms: 11 + -3 = 8
11x = 8

Divide each side by '11'.
x = 0.7272727273

Simplifying
x = 0.7272727273

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