3(5x-3)=-1-4(-6x-7)

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Solution for 3(5x-3)=-1-4(-6x-7) equation:


Simplifying
3(5x + -3) = -1 + -4(-6x + -7)

Reorder the terms:
3(-3 + 5x) = -1 + -4(-6x + -7)
(-3 * 3 + 5x * 3) = -1 + -4(-6x + -7)
(-9 + 15x) = -1 + -4(-6x + -7)

Reorder the terms:
-9 + 15x = -1 + -4(-7 + -6x)
-9 + 15x = -1 + (-7 * -4 + -6x * -4)
-9 + 15x = -1 + (28 + 24x)

Combine like terms: -1 + 28 = 27
-9 + 15x = 27 + 24x

Solving
-9 + 15x = 27 + 24x

Solving for variable 'x'.

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

Add '-24x' to each side of the equation.
-9 + 15x + -24x = 27 + 24x + -24x

Combine like terms: 15x + -24x = -9x
-9 + -9x = 27 + 24x + -24x

Combine like terms: 24x + -24x = 0
-9 + -9x = 27 + 0
-9 + -9x = 27

Add '9' to each side of the equation.
-9 + 9 + -9x = 27 + 9

Combine like terms: -9 + 9 = 0
0 + -9x = 27 + 9
-9x = 27 + 9

Combine like terms: 27 + 9 = 36
-9x = 36

Divide each side by '-9'.
x = -4

Simplifying
x = -4

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