11x-6=10(x-10)-4

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Solution for 11x-6=10(x-10)-4 equation:


Simplifying
11x + -6 = 10(x + -10) + -4

Reorder the terms:
-6 + 11x = 10(x + -10) + -4

Reorder the terms:
-6 + 11x = 10(-10 + x) + -4
-6 + 11x = (-10 * 10 + x * 10) + -4
-6 + 11x = (-100 + 10x) + -4

Reorder the terms:
-6 + 11x = -100 + -4 + 10x

Combine like terms: -100 + -4 = -104
-6 + 11x = -104 + 10x

Solving
-6 + 11x = -104 + 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.
-6 + 11x + -10x = -104 + 10x + -10x

Combine like terms: 11x + -10x = 1x
-6 + 1x = -104 + 10x + -10x

Combine like terms: 10x + -10x = 0
-6 + 1x = -104 + 0
-6 + 1x = -104

Add '6' to each side of the equation.
-6 + 6 + 1x = -104 + 6

Combine like terms: -6 + 6 = 0
0 + 1x = -104 + 6
1x = -104 + 6

Combine like terms: -104 + 6 = -98
1x = -98

Divide each side by '1'.
x = -98

Simplifying
x = -98

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