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

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


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

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

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

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

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

Combine like terms: 9 + 3 = 12
12 + 5x + -2x = 2x + -7

Combine like terms: 5x + -2x = 3x
12 + 3x = 2x + -7

Reorder the terms:
12 + 3x = -7 + 2x

Solving
12 + 3x = -7 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.
12 + 3x + -2x = -7 + 2x + -2x

Combine like terms: 3x + -2x = 1x
12 + 1x = -7 + 2x + -2x

Combine like terms: 2x + -2x = 0
12 + 1x = -7 + 0
12 + 1x = -7

Add '-12' to each side of the equation.
12 + -12 + 1x = -7 + -12

Combine like terms: 12 + -12 = 0
0 + 1x = -7 + -12
1x = -7 + -12

Combine like terms: -7 + -12 = -19
1x = -19

Divide each side by '1'.
x = -19

Simplifying
x = -19

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