3[5-2(4x-9)]-17=5[13-4(3x-8)]-29

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Solution for 3[5-2(4x-9)]-17=5[13-4(3x-8)]-29 equation:


Simplifying
3[5 + -2(4x + -9)] + -17 = 5[13 + -4(3x + -8)] + -29

Reorder the terms:
3[5 + -2(-9 + 4x)] + -17 = 5[13 + -4(3x + -8)] + -29
3[5 + (-9 * -2 + 4x * -2)] + -17 = 5[13 + -4(3x + -8)] + -29
3[5 + (18 + -8x)] + -17 = 5[13 + -4(3x + -8)] + -29

Combine like terms: 5 + 18 = 23
3[23 + -8x] + -17 = 5[13 + -4(3x + -8)] + -29
[23 * 3 + -8x * 3] + -17 = 5[13 + -4(3x + -8)] + -29
[69 + -24x] + -17 = 5[13 + -4(3x + -8)] + -29

Reorder the terms:
69 + -17 + -24x = 5[13 + -4(3x + -8)] + -29

Combine like terms: 69 + -17 = 52
52 + -24x = 5[13 + -4(3x + -8)] + -29

Reorder the terms:
52 + -24x = 5[13 + -4(-8 + 3x)] + -29
52 + -24x = 5[13 + (-8 * -4 + 3x * -4)] + -29
52 + -24x = 5[13 + (32 + -12x)] + -29

Combine like terms: 13 + 32 = 45
52 + -24x = 5[45 + -12x] + -29
52 + -24x = [45 * 5 + -12x * 5] + -29
52 + -24x = [225 + -60x] + -29

Reorder the terms:
52 + -24x = 225 + -29 + -60x

Combine like terms: 225 + -29 = 196
52 + -24x = 196 + -60x

Solving
52 + -24x = 196 + -60x

Solving for variable 'x'.

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

Add '60x' to each side of the equation.
52 + -24x + 60x = 196 + -60x + 60x

Combine like terms: -24x + 60x = 36x
52 + 36x = 196 + -60x + 60x

Combine like terms: -60x + 60x = 0
52 + 36x = 196 + 0
52 + 36x = 196

Add '-52' to each side of the equation.
52 + -52 + 36x = 196 + -52

Combine like terms: 52 + -52 = 0
0 + 36x = 196 + -52
36x = 196 + -52

Combine like terms: 196 + -52 = 144
36x = 144

Divide each side by '36'.
x = 4

Simplifying
x = 4

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