12-5[3x-2(2x-7)]+3=6(1-4x)

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Solution for 12-5[3x-2(2x-7)]+3=6(1-4x) equation:


Simplifying
12 + -5[3x + -2(2x + -7)] + 3 = 6(1 + -4x)

Reorder the terms:
12 + -5[3x + -2(-7 + 2x)] + 3 = 6(1 + -4x)
12 + -5[3x + (-7 * -2 + 2x * -2)] + 3 = 6(1 + -4x)
12 + -5[3x + (14 + -4x)] + 3 = 6(1 + -4x)

Reorder the terms:
12 + -5[14 + 3x + -4x] + 3 = 6(1 + -4x)

Combine like terms: 3x + -4x = -1x
12 + -5[14 + -1x] + 3 = 6(1 + -4x)
12 + [14 * -5 + -1x * -5] + 3 = 6(1 + -4x)
12 + [-70 + 5x] + 3 = 6(1 + -4x)

Reorder the terms:
12 + -70 + 3 + 5x = 6(1 + -4x)

Combine like terms: 12 + -70 = -58
-58 + 3 + 5x = 6(1 + -4x)

Combine like terms: -58 + 3 = -55
-55 + 5x = 6(1 + -4x)
-55 + 5x = (1 * 6 + -4x * 6)
-55 + 5x = (6 + -24x)

Solving
-55 + 5x = 6 + -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.
-55 + 5x + 24x = 6 + -24x + 24x

Combine like terms: 5x + 24x = 29x
-55 + 29x = 6 + -24x + 24x

Combine like terms: -24x + 24x = 0
-55 + 29x = 6 + 0
-55 + 29x = 6

Add '55' to each side of the equation.
-55 + 55 + 29x = 6 + 55

Combine like terms: -55 + 55 = 0
0 + 29x = 6 + 55
29x = 6 + 55

Combine like terms: 6 + 55 = 61
29x = 61

Divide each side by '29'.
x = 2.103448276

Simplifying
x = 2.103448276

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