3(x-4)-7(x-2)=-2(x+18)

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Solution for 3(x-4)-7(x-2)=-2(x+18) equation:


Simplifying
3(x + -4) + -7(x + -2) = -2(x + 18)

Reorder the terms:
3(-4 + x) + -7(x + -2) = -2(x + 18)
(-4 * 3 + x * 3) + -7(x + -2) = -2(x + 18)
(-12 + 3x) + -7(x + -2) = -2(x + 18)

Reorder the terms:
-12 + 3x + -7(-2 + x) = -2(x + 18)
-12 + 3x + (-2 * -7 + x * -7) = -2(x + 18)
-12 + 3x + (14 + -7x) = -2(x + 18)

Reorder the terms:
-12 + 14 + 3x + -7x = -2(x + 18)

Combine like terms: -12 + 14 = 2
2 + 3x + -7x = -2(x + 18)

Combine like terms: 3x + -7x = -4x
2 + -4x = -2(x + 18)

Reorder the terms:
2 + -4x = -2(18 + x)
2 + -4x = (18 * -2 + x * -2)
2 + -4x = (-36 + -2x)

Solving
2 + -4x = -36 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
2 + -4x + 2x = -36 + -2x + 2x

Combine like terms: -4x + 2x = -2x
2 + -2x = -36 + -2x + 2x

Combine like terms: -2x + 2x = 0
2 + -2x = -36 + 0
2 + -2x = -36

Add '-2' to each side of the equation.
2 + -2 + -2x = -36 + -2

Combine like terms: 2 + -2 = 0
0 + -2x = -36 + -2
-2x = -36 + -2

Combine like terms: -36 + -2 = -38
-2x = -38

Divide each side by '-2'.
x = 19

Simplifying
x = 19

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