4-2(4x+1)=6(x-3)+6

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Solution for 4-2(4x+1)=6(x-3)+6 equation:


Simplifying
4 + -2(4x + 1) = 6(x + -3) + 6

Reorder the terms:
4 + -2(1 + 4x) = 6(x + -3) + 6
4 + (1 * -2 + 4x * -2) = 6(x + -3) + 6
4 + (-2 + -8x) = 6(x + -3) + 6

Combine like terms: 4 + -2 = 2
2 + -8x = 6(x + -3) + 6

Reorder the terms:
2 + -8x = 6(-3 + x) + 6
2 + -8x = (-3 * 6 + x * 6) + 6
2 + -8x = (-18 + 6x) + 6

Reorder the terms:
2 + -8x = -18 + 6 + 6x

Combine like terms: -18 + 6 = -12
2 + -8x = -12 + 6x

Solving
2 + -8x = -12 + 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.
2 + -8x + -6x = -12 + 6x + -6x

Combine like terms: -8x + -6x = -14x
2 + -14x = -12 + 6x + -6x

Combine like terms: 6x + -6x = 0
2 + -14x = -12 + 0
2 + -14x = -12

Add '-2' to each side of the equation.
2 + -2 + -14x = -12 + -2

Combine like terms: 2 + -2 = 0
0 + -14x = -12 + -2
-14x = -12 + -2

Combine like terms: -12 + -2 = -14
-14x = -14

Divide each side by '-14'.
x = 1

Simplifying
x = 1

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