4[2x+3]-5[3x-2]=1

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Solution for 4[2x+3]-5[3x-2]=1 equation: 


Simplifying
4[2x + 3] + -5[3x + -2] = 1

Reorder the terms:
4[3 + 2x] + -5[3x + -2] = 1
[3 * 4 + 2x * 4] + -5[3x + -2] = 1
[12 + 8x] + -5[3x + -2] = 1

Reorder the terms:
12 + 8x + -5[-2 + 3x] = 1
12 + 8x + [-2 * -5 + 3x * -5] = 1
12 + 8x + [10 + -15x] = 1

Reorder the terms:
12 + 10 + 8x + -15x = 1

Combine like terms: 12 + 10 = 22
22 + 8x + -15x = 1

Combine like terms: 8x + -15x = -7x
22 + -7x = 1

Solving
22 + -7x = 1

Solving for variable 'x'.

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

Add '-22' to each side of the equation.
22 + -22 + -7x = 1 + -22

Combine like terms: 22 + -22 = 0
0 + -7x = 1 + -22
-7x = 1 + -22

Combine like terms: 1 + -22 = -21
-7x = -21

Divide each side by '-7'.
x = 3

Simplifying
x = 3

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