-9(4x-5)+3=-(4)-(-5)-6x-13

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Solution for -9(4x-5)+3=-(4)-(-5)-6x-13 equation:


Simplifying
-9(4x + -5) + 3 = -1(4) + -1(-5) + -6x + -13

Reorder the terms:
-9(-5 + 4x) + 3 = -1(4) + -1(-5) + -6x + -13
(-5 * -9 + 4x * -9) + 3 = -1(4) + -1(-5) + -6x + -13
(45 + -36x) + 3 = -1(4) + -1(-5) + -6x + -13

Reorder the terms:
45 + 3 + -36x = -1(4) + -1(-5) + -6x + -13

Combine like terms: 45 + 3 = 48
48 + -36x = -1(4) + -1(-5) + -6x + -13

Multiply -1 * 4
48 + -36x = -4 + -1(-5) + -6x + -13

Multiply -1 * -5
48 + -36x = -4 + 5 + -6x + -13

Reorder the terms:
48 + -36x = -4 + 5 + -13 + -6x

Combine like terms: -4 + 5 = 1
48 + -36x = 1 + -13 + -6x

Combine like terms: 1 + -13 = -12
48 + -36x = -12 + -6x

Solving
48 + -36x = -12 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
48 + -36x + 6x = -12 + -6x + 6x

Combine like terms: -36x + 6x = -30x
48 + -30x = -12 + -6x + 6x

Combine like terms: -6x + 6x = 0
48 + -30x = -12 + 0
48 + -30x = -12

Add '-48' to each side of the equation.
48 + -48 + -30x = -12 + -48

Combine like terms: 48 + -48 = 0
0 + -30x = -12 + -48
-30x = -12 + -48

Combine like terms: -12 + -48 = -60
-30x = -60

Divide each side by '-30'.
x = 2

Simplifying
x = 2

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