4(x-3)=-7x-2(1-6x)

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Solution for 4(x-3)=-7x-2(1-6x) equation:


Simplifying
4(x + -3) = -7x + -2(1 + -6x)

Reorder the terms:
4(-3 + x) = -7x + -2(1 + -6x)
(-3 * 4 + x * 4) = -7x + -2(1 + -6x)
(-12 + 4x) = -7x + -2(1 + -6x)
-12 + 4x = -7x + (1 * -2 + -6x * -2)
-12 + 4x = -7x + (-2 + 12x)

Reorder the terms:
-12 + 4x = -2 + -7x + 12x

Combine like terms: -7x + 12x = 5x
-12 + 4x = -2 + 5x

Solving
-12 + 4x = -2 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-12 + 4x + -5x = -2 + 5x + -5x

Combine like terms: 4x + -5x = -1x
-12 + -1x = -2 + 5x + -5x

Combine like terms: 5x + -5x = 0
-12 + -1x = -2 + 0
-12 + -1x = -2

Add '12' to each side of the equation.
-12 + 12 + -1x = -2 + 12

Combine like terms: -12 + 12 = 0
0 + -1x = -2 + 12
-1x = -2 + 12

Combine like terms: -2 + 12 = 10
-1x = 10

Divide each side by '-1'.
x = -10

Simplifying
x = -10

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