3x-(5x-9)=7-4(x+1)

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Solution for 3x-(5x-9)=7-4(x+1) equation:


Simplifying
3x + -1(5x + -9) = 7 + -4(x + 1)

Reorder the terms:
3x + -1(-9 + 5x) = 7 + -4(x + 1)
3x + (-9 * -1 + 5x * -1) = 7 + -4(x + 1)
3x + (9 + -5x) = 7 + -4(x + 1)

Reorder the terms:
9 + 3x + -5x = 7 + -4(x + 1)

Combine like terms: 3x + -5x = -2x
9 + -2x = 7 + -4(x + 1)

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

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

Solving
9 + -2x = 3 + -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 + -2x + 4x = 3 + -4x + 4x

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

Combine like terms: -4x + 4x = 0
9 + 2x = 3 + 0
9 + 2x = 3

Add '-9' to each side of the equation.
9 + -9 + 2x = 3 + -9

Combine like terms: 9 + -9 = 0
0 + 2x = 3 + -9
2x = 3 + -9

Combine like terms: 3 + -9 = -6
2x = -6

Divide each side by '2'.
x = -3

Simplifying
x = -3

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