-3(x+6)-7x-4(-4x-6)=100

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Solution for -3(x+6)-7x-4(-4x-6)=100 equation:


Simplifying
-3(x + 6) + -7x + -4(-4x + -6) = 100

Reorder the terms:
-3(6 + x) + -7x + -4(-4x + -6) = 100
(6 * -3 + x * -3) + -7x + -4(-4x + -6) = 100
(-18 + -3x) + -7x + -4(-4x + -6) = 100

Reorder the terms:
-18 + -3x + -7x + -4(-6 + -4x) = 100
-18 + -3x + -7x + (-6 * -4 + -4x * -4) = 100
-18 + -3x + -7x + (24 + 16x) = 100

Reorder the terms:
-18 + 24 + -3x + -7x + 16x = 100

Combine like terms: -18 + 24 = 6
6 + -3x + -7x + 16x = 100

Combine like terms: -3x + -7x = -10x
6 + -10x + 16x = 100

Combine like terms: -10x + 16x = 6x
6 + 6x = 100

Solving
6 + 6x = 100

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + 6x = 100 + -6

Combine like terms: 6 + -6 = 0
0 + 6x = 100 + -6
6x = 100 + -6

Combine like terms: 100 + -6 = 94
6x = 94

Divide each side by '6'.
x = 15.66666667

Simplifying
x = 15.66666667

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