-2(4x+7)+6(5x-7)=10

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Solution for -2(4x+7)+6(5x-7)=10 equation:


Simplifying
-2(4x + 7) + 6(5x + -7) = 10

Reorder the terms:
-2(7 + 4x) + 6(5x + -7) = 10
(7 * -2 + 4x * -2) + 6(5x + -7) = 10
(-14 + -8x) + 6(5x + -7) = 10

Reorder the terms:
-14 + -8x + 6(-7 + 5x) = 10
-14 + -8x + (-7 * 6 + 5x * 6) = 10
-14 + -8x + (-42 + 30x) = 10

Reorder the terms:
-14 + -42 + -8x + 30x = 10

Combine like terms: -14 + -42 = -56
-56 + -8x + 30x = 10

Combine like terms: -8x + 30x = 22x
-56 + 22x = 10

Solving
-56 + 22x = 10

Solving for variable 'x'.

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

Add '56' to each side of the equation.
-56 + 56 + 22x = 10 + 56

Combine like terms: -56 + 56 = 0
0 + 22x = 10 + 56
22x = 10 + 56

Combine like terms: 10 + 56 = 66
22x = 66

Divide each side by '22'.
x = 3

Simplifying
x = 3

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