4(14-10x)-12(11-14x)=820

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Solution for 4(14-10x)-12(11-14x)=820 equation: 


Simplifying
4(14 + -10x) + -12(11 + -14x) = 820
(14 * 4 + -10x * 4) + -12(11 + -14x) = 820
(56 + -40x) + -12(11 + -14x) = 820
56 + -40x + (11 * -12 + -14x * -12) = 820
56 + -40x + (-132 + 168x) = 820

Reorder the terms:
56 + -132 + -40x + 168x = 820

Combine like terms: 56 + -132 = -76
-76 + -40x + 168x = 820

Combine like terms: -40x + 168x = 128x
-76 + 128x = 820

Solving
-76 + 128x = 820

Solving for variable 'x'.

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

Add '76' to each side of the equation.
-76 + 76 + 128x = 820 + 76

Combine like terms: -76 + 76 = 0
0 + 128x = 820 + 76
128x = 820 + 76

Combine like terms: 820 + 76 = 896
128x = 896

Divide each side by '128'.
x = 7

Simplifying
x = 7

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