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

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


Simplifying
2x + -1(3x + 4) = -6(x + -10) + -3

Reorder the terms:
2x + -1(4 + 3x) = -6(x + -10) + -3
2x + (4 * -1 + 3x * -1) = -6(x + -10) + -3
2x + (-4 + -3x) = -6(x + -10) + -3

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

Combine like terms: 2x + -3x = -1x
-4 + -1x = -6(x + -10) + -3

Reorder the terms:
-4 + -1x = -6(-10 + x) + -3
-4 + -1x = (-10 * -6 + x * -6) + -3
-4 + -1x = (60 + -6x) + -3

Reorder the terms:
-4 + -1x = 60 + -3 + -6x

Combine like terms: 60 + -3 = 57
-4 + -1x = 57 + -6x

Solving
-4 + -1x = 57 + -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.
-4 + -1x + 6x = 57 + -6x + 6x

Combine like terms: -1x + 6x = 5x
-4 + 5x = 57 + -6x + 6x

Combine like terms: -6x + 6x = 0
-4 + 5x = 57 + 0
-4 + 5x = 57

Add '4' to each side of the equation.
-4 + 4 + 5x = 57 + 4

Combine like terms: -4 + 4 = 0
0 + 5x = 57 + 4
5x = 57 + 4

Combine like terms: 57 + 4 = 61
5x = 61

Divide each side by '5'.
x = 12.2

Simplifying
x = 12.2

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