5(-3x*-2)-(x*-3)=-4(4x+5)+13

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Solution for 5(-3x*-2)-(x*-3)=-4(4x+5)+13 equation:


Simplifying
5(-3x * -2) + -1(x * -3) = -4(4x + 5) + 13

Reorder the terms for easier multiplication:
5(-3 * -2x) + -1(x * -3) = -4(4x + 5) + 13

Multiply -3 * -2
5(6x) + -1(x * -3) = -4(4x + 5) + 13

Remove parenthesis around (6x)
5 * 6x + -1(x * -3) = -4(4x + 5) + 13

Multiply 5 * 6
30x + -1(x * -3) = -4(4x + 5) + 13

Reorder the terms for easier multiplication:
30x + -1(-3x) = -4(4x + 5) + 13

Remove parenthesis around (-3x)
30x + -1 * -3x = -4(4x + 5) + 13

Multiply -1 * -3
30x + 3x = -4(4x + 5) + 13

Combine like terms: 30x + 3x = 33x
33x = -4(4x + 5) + 13

Reorder the terms:
33x = -4(5 + 4x) + 13
33x = (5 * -4 + 4x * -4) + 13
33x = (-20 + -16x) + 13

Reorder the terms:
33x = -20 + 13 + -16x

Combine like terms: -20 + 13 = -7
33x = -7 + -16x

Solving
33x = -7 + -16x

Solving for variable 'x'.

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

Add '16x' to each side of the equation.
33x + 16x = -7 + -16x + 16x

Combine like terms: 33x + 16x = 49x
49x = -7 + -16x + 16x

Combine like terms: -16x + 16x = 0
49x = -7 + 0
49x = -7

Divide each side by '49'.
x = -0.1428571429

Simplifying
x = -0.1428571429

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