2x-3(2x+4)=-6x+10

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Solution for 2x-3(2x+4)=-6x+10 equation:


Simplifying
2x + -3(2x + 4) = -6x + 10

Reorder the terms:
2x + -3(4 + 2x) = -6x + 10
2x + (4 * -3 + 2x * -3) = -6x + 10
2x + (-12 + -6x) = -6x + 10

Reorder the terms:
-12 + 2x + -6x = -6x + 10

Combine like terms: 2x + -6x = -4x
-12 + -4x = -6x + 10

Reorder the terms:
-12 + -4x = 10 + -6x

Solving
-12 + -4x = 10 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-12 + -4x + 6x = 10 + -6x + 6x

Combine like terms: -4x + 6x = 2x
-12 + 2x = 10 + -6x + 6x

Combine like terms: -6x + 6x = 0
-12 + 2x = 10 + 0
-12 + 2x = 10

Add '12' to each side of the equation.
-12 + 12 + 2x = 10 + 12

Combine like terms: -12 + 12 = 0
0 + 2x = 10 + 12
2x = 10 + 12

Combine like terms: 10 + 12 = 22
2x = 22

Divide each side by '2'.
x = 11

Simplifying
x = 11

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