2(3x+5)-2(4x+7)=8

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Solution for 2(3x+5)-2(4x+7)=8 equation:


Simplifying
2(3x + 5) + -2(4x + 7) = 8

Reorder the terms:
2(5 + 3x) + -2(4x + 7) = 8
(5 * 2 + 3x * 2) + -2(4x + 7) = 8
(10 + 6x) + -2(4x + 7) = 8

Reorder the terms:
10 + 6x + -2(7 + 4x) = 8
10 + 6x + (7 * -2 + 4x * -2) = 8
10 + 6x + (-14 + -8x) = 8

Reorder the terms:
10 + -14 + 6x + -8x = 8

Combine like terms: 10 + -14 = -4
-4 + 6x + -8x = 8

Combine like terms: 6x + -8x = -2x
-4 + -2x = 8

Solving
-4 + -2x = 8

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + -2x = 8 + 4

Combine like terms: -4 + 4 = 0
0 + -2x = 8 + 4
-2x = 8 + 4

Combine like terms: 8 + 4 = 12
-2x = 12

Divide each side by '-2'.
x = -6

Simplifying
x = -6

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