5-2(3x+7)=10-4x

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Solution for 5-2(3x+7)=10-4x equation:


Simplifying
5 + -2(3x + 7) = 10 + -4x

Reorder the terms:
5 + -2(7 + 3x) = 10 + -4x
5 + (7 * -2 + 3x * -2) = 10 + -4x
5 + (-14 + -6x) = 10 + -4x

Combine like terms: 5 + -14 = -9
-9 + -6x = 10 + -4x

Solving
-9 + -6x = 10 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-9 + -6x + 4x = 10 + -4x + 4x

Combine like terms: -6x + 4x = -2x
-9 + -2x = 10 + -4x + 4x

Combine like terms: -4x + 4x = 0
-9 + -2x = 10 + 0
-9 + -2x = 10

Add '9' to each side of the equation.
-9 + 9 + -2x = 10 + 9

Combine like terms: -9 + 9 = 0
0 + -2x = 10 + 9
-2x = 10 + 9

Combine like terms: 10 + 9 = 19
-2x = 19

Divide each side by '-2'.
x = -9.5

Simplifying
x = -9.5

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