5*2[3x-3]-3*2[5-3x]=-7

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Solution for 5*2[3x-3]-3*2[5-3x]=-7 equation: 


Simplifying
5 * 2[3x + -3] + -3 * 2[5 + -3x] = -7

Reorder the terms:
5 * 2[-3 + 3x] + -3 * 2[5 + -3x] = -7

Multiply 5 * 2
10[-3 + 3x] + -3 * 2[5 + -3x] = -7
[-3 * 10 + 3x * 10] + -3 * 2[5 + -3x] = -7
[-30 + 30x] + -3 * 2[5 + -3x] = -7

Multiply -3 * 2
-30 + 30x + -6[5 + -3x] = -7
-30 + 30x + [5 * -6 + -3x * -6] = -7
-30 + 30x + [-30 + 18x] = -7

Reorder the terms:
-30 + -30 + 30x + 18x = -7

Combine like terms: -30 + -30 = -60
-60 + 30x + 18x = -7

Combine like terms: 30x + 18x = 48x
-60 + 48x = -7

Solving
-60 + 48x = -7

Solving for variable 'x'.

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

Add '60' to each side of the equation.
-60 + 60 + 48x = -7 + 60

Combine like terms: -60 + 60 = 0
0 + 48x = -7 + 60
48x = -7 + 60

Combine like terms: -7 + 60 = 53
48x = 53

Divide each side by '48'.
x = 1.104166667

Simplifying
x = 1.104166667

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