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

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


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

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

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

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

Solving
9 + 3x = 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.
9 + 3x + 4x = 11 + -4x + 4x

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

Combine like terms: -4x + 4x = 0
9 + 7x = 11 + 0
9 + 7x = 11

Add '-9' to each side of the equation.
9 + -9 + 7x = 11 + -9

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

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

Divide each side by '7'.
x = 0.2857142857

Simplifying
x = 0.2857142857

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