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

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


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

Reorder the terms:
-3(-9 + x) + -1(-5x + 4) = -7
(-9 * -3 + x * -3) + -1(-5x + 4) = -7
(27 + -3x) + -1(-5x + 4) = -7

Reorder the terms:
27 + -3x + -1(4 + -5x) = -7
27 + -3x + (4 * -1 + -5x * -1) = -7
27 + -3x + (-4 + 5x) = -7

Reorder the terms:
27 + -4 + -3x + 5x = -7

Combine like terms: 27 + -4 = 23
23 + -3x + 5x = -7

Combine like terms: -3x + 5x = 2x
23 + 2x = -7

Solving
23 + 2x = -7

Solving for variable 'x'.

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

Add '-23' to each side of the equation.
23 + -23 + 2x = -7 + -23

Combine like terms: 23 + -23 = 0
0 + 2x = -7 + -23
2x = -7 + -23

Combine like terms: -7 + -23 = -30
2x = -30

Divide each side by '2'.
x = -15

Simplifying
x = -15

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