3(3x-52)-7(3x-4)=-60

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Solution for 3(3x-52)-7(3x-4)=-60 equation:


Simplifying
3(3x + -52) + -7(3x + -4) = -60

Reorder the terms:
3(-52 + 3x) + -7(3x + -4) = -60
(-52 * 3 + 3x * 3) + -7(3x + -4) = -60
(-156 + 9x) + -7(3x + -4) = -60

Reorder the terms:
-156 + 9x + -7(-4 + 3x) = -60
-156 + 9x + (-4 * -7 + 3x * -7) = -60
-156 + 9x + (28 + -21x) = -60

Reorder the terms:
-156 + 28 + 9x + -21x = -60

Combine like terms: -156 + 28 = -128
-128 + 9x + -21x = -60

Combine like terms: 9x + -21x = -12x
-128 + -12x = -60

Solving
-128 + -12x = -60

Solving for variable 'x'.

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

Add '128' to each side of the equation.
-128 + 128 + -12x = -60 + 128

Combine like terms: -128 + 128 = 0
0 + -12x = -60 + 128
-12x = -60 + 128

Combine like terms: -60 + 128 = 68
-12x = 68

Divide each side by '-12'.
x = -5.666666667

Simplifying
x = -5.666666667

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