5[x-4(1-2x)-6]-3(x+10)=40x-12

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Solution for 5[x-4(1-2x)-6]-3(x+10)=40x-12 equation:


Simplifying
5[x + -4(1 + -2x) + -6] + -3(x + 10) = 40x + -12
5[x + (1 * -4 + -2x * -4) + -6] + -3(x + 10) = 40x + -12
5[x + (-4 + 8x) + -6] + -3(x + 10) = 40x + -12

Reorder the terms:
5[-4 + -6 + x + 8x] + -3(x + 10) = 40x + -12

Combine like terms: -4 + -6 = -10
5[-10 + x + 8x] + -3(x + 10) = 40x + -12

Combine like terms: x + 8x = 9x
5[-10 + 9x] + -3(x + 10) = 40x + -12
[-10 * 5 + 9x * 5] + -3(x + 10) = 40x + -12
[-50 + 45x] + -3(x + 10) = 40x + -12

Reorder the terms:
-50 + 45x + -3(10 + x) = 40x + -12
-50 + 45x + (10 * -3 + x * -3) = 40x + -12
-50 + 45x + (-30 + -3x) = 40x + -12

Reorder the terms:
-50 + -30 + 45x + -3x = 40x + -12

Combine like terms: -50 + -30 = -80
-80 + 45x + -3x = 40x + -12

Combine like terms: 45x + -3x = 42x
-80 + 42x = 40x + -12

Reorder the terms:
-80 + 42x = -12 + 40x

Solving
-80 + 42x = -12 + 40x

Solving for variable 'x'.

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

Add '-40x' to each side of the equation.
-80 + 42x + -40x = -12 + 40x + -40x

Combine like terms: 42x + -40x = 2x
-80 + 2x = -12 + 40x + -40x

Combine like terms: 40x + -40x = 0
-80 + 2x = -12 + 0
-80 + 2x = -12

Add '80' to each side of the equation.
-80 + 80 + 2x = -12 + 80

Combine like terms: -80 + 80 = 0
0 + 2x = -12 + 80
2x = -12 + 80

Combine like terms: -12 + 80 = 68
2x = 68

Divide each side by '2'.
x = 34

Simplifying
x = 34

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