7x-(2x+3)=9(x-1)-5x

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Solution for 7x-(2x+3)=9(x-1)-5x equation:


Simplifying
7x + -1(2x + 3) = 9(x + -1) + -5x

Reorder the terms:
7x + -1(3 + 2x) = 9(x + -1) + -5x
7x + (3 * -1 + 2x * -1) = 9(x + -1) + -5x
7x + (-3 + -2x) = 9(x + -1) + -5x

Reorder the terms:
-3 + 7x + -2x = 9(x + -1) + -5x

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

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

Combine like terms: 9x + -5x = 4x
-3 + 5x = -9 + 4x

Solving
-3 + 5x = -9 + 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 + 5x + -4x = -9 + 4x + -4x

Combine like terms: 5x + -4x = 1x
-3 + 1x = -9 + 4x + -4x

Combine like terms: 4x + -4x = 0
-3 + 1x = -9 + 0
-3 + 1x = -9

Add '3' to each side of the equation.
-3 + 3 + 1x = -9 + 3

Combine like terms: -3 + 3 = 0
0 + 1x = -9 + 3
1x = -9 + 3

Combine like terms: -9 + 3 = -6
1x = -6

Divide each side by '1'.
x = -6

Simplifying
x = -6

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