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

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


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

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

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

Combine like terms: 6 + 1 = 7
4[7 + 2x] + 2 = 5[3(4 + -1x) + -2] + -4
[7 * 4 + 2x * 4] + 2 = 5[3(4 + -1x) + -2] + -4
[28 + 8x] + 2 = 5[3(4 + -1x) + -2] + -4

Reorder the terms:
28 + 2 + 8x = 5[3(4 + -1x) + -2] + -4

Combine like terms: 28 + 2 = 30
30 + 8x = 5[3(4 + -1x) + -2] + -4
30 + 8x = 5[(4 * 3 + -1x * 3) + -2] + -4
30 + 8x = 5[(12 + -3x) + -2] + -4

Reorder the terms:
30 + 8x = 5[12 + -2 + -3x] + -4

Combine like terms: 12 + -2 = 10
30 + 8x = 5[10 + -3x] + -4
30 + 8x = [10 * 5 + -3x * 5] + -4
30 + 8x = [50 + -15x] + -4

Reorder the terms:
30 + 8x = 50 + -4 + -15x

Combine like terms: 50 + -4 = 46
30 + 8x = 46 + -15x

Solving
30 + 8x = 46 + -15x

Solving for variable 'x'.

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

Add '15x' to each side of the equation.
30 + 8x + 15x = 46 + -15x + 15x

Combine like terms: 8x + 15x = 23x
30 + 23x = 46 + -15x + 15x

Combine like terms: -15x + 15x = 0
30 + 23x = 46 + 0
30 + 23x = 46

Add '-30' to each side of the equation.
30 + -30 + 23x = 46 + -30

Combine like terms: 30 + -30 = 0
0 + 23x = 46 + -30
23x = 46 + -30

Combine like terms: 46 + -30 = 16
23x = 16

Divide each side by '23'.
x = 0.6956521739

Simplifying
x = 0.6956521739

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