2[3(2-x)-8(x-9)+4]=10[2(-5+x)-(x-4)]

Solution for 2[3(2-x)-8(x-9)+4]=10[2(-5+x)-(x-4)] equation:

Simplifying
2[3(2 + -1x) + -8(x + -9) + 4] = 10[2(-5 + x) + -1(x + -4)]
2[(2 * 3 + -1x * 3) + -8(x + -9) + 4] = 10[2(-5 + x) + -1(x + -4)]
2[(6 + -3x) + -8(x + -9) + 4] = 10[2(-5 + x) + -1(x + -4)]

Reorder the terms:
2[6 + -3x + -8(-9 + x) + 4] = 10[2(-5 + x) + -1(x + -4)]
2[6 + -3x + (-9 * -8 + x * -8) + 4] = 10[2(-5 + x) + -1(x + -4)]
2[6 + -3x + (72 + -8x) + 4] = 10[2(-5 + x) + -1(x + -4)]

Reorder the terms:
2[6 + 72 + 4 + -3x + -8x] = 10[2(-5 + x) + -1(x + -4)]

Combine like terms: 6 + 72 = 78
2[78 + 4 + -3x + -8x] = 10[2(-5 + x) + -1(x + -4)]

Combine like terms: 78 + 4 = 82
2[82 + -3x + -8x] = 10[2(-5 + x) + -1(x + -4)]

Combine like terms: -3x + -8x = -11x
2[82 + -11x] = 10[2(-5 + x) + -1(x + -4)]
[82 * 2 + -11x * 2] = 10[2(-5 + x) + -1(x + -4)]
[164 + -22x] = 10[2(-5 + x) + -1(x + -4)]
164 + -22x = 10[(-5 * 2 + x * 2) + -1(x + -4)]
164 + -22x = 10[(-10 + 2x) + -1(x + -4)]

Reorder the terms:
164 + -22x = 10[-10 + 2x + -1(-4 + x)]
164 + -22x = 10[-10 + 2x + (-4 * -1 + x * -1)]
164 + -22x = 10[-10 + 2x + (4 + -1x)]

Reorder the terms:
164 + -22x = 10[-10 + 4 + 2x + -1x]

Combine like terms: -10 + 4 = -6
164 + -22x = 10[-6 + 2x + -1x]

Combine like terms: 2x + -1x = 1x
164 + -22x = 10[-6 + 1x]
164 + -22x = [-6 * 10 + 1x * 10]
164 + -22x = [-60 + 10x]

Solving
164 + -22x = -60 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
164 + -22x + -10x = -60 + 10x + -10x

Combine like terms: -22x + -10x = -32x
164 + -32x = -60 + 10x + -10x

Combine like terms: 10x + -10x = 0
164 + -32x = -60 + 0
164 + -32x = -60

Add '-164' to each side of the equation.
164 + -164 + -32x = -60 + -164

Combine like terms: 164 + -164 = 0
0 + -32x = -60 + -164
-32x = -60 + -164

Combine like terms: -60 + -164 = -224
-32x = -224

Divide each side by '-32'.
x = 7

Simplifying
x = 7