7(4x-2)+2(8x-2)=378

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Solution for 7(4x-2)+2(8x-2)=378 equation:


Simplifying
7(4x + -2) + 2(8x + -2) = 378

Reorder the terms:
7(-2 + 4x) + 2(8x + -2) = 378
(-2 * 7 + 4x * 7) + 2(8x + -2) = 378
(-14 + 28x) + 2(8x + -2) = 378

Reorder the terms:
-14 + 28x + 2(-2 + 8x) = 378
-14 + 28x + (-2 * 2 + 8x * 2) = 378
-14 + 28x + (-4 + 16x) = 378

Reorder the terms:
-14 + -4 + 28x + 16x = 378

Combine like terms: -14 + -4 = -18
-18 + 28x + 16x = 378

Combine like terms: 28x + 16x = 44x
-18 + 44x = 378

Solving
-18 + 44x = 378

Solving for variable 'x'.

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

Add '18' to each side of the equation.
-18 + 18 + 44x = 378 + 18

Combine like terms: -18 + 18 = 0
0 + 44x = 378 + 18
44x = 378 + 18

Combine like terms: 378 + 18 = 396
44x = 396

Divide each side by '44'.
x = 9

Simplifying
x = 9

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