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

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


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

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

Reorder the terms:
-12 + 4x + 2(4 + x) = 2(x + -3)
-12 + 4x + (4 * 2 + x * 2) = 2(x + -3)
-12 + 4x + (8 + 2x) = 2(x + -3)

Reorder the terms:
-12 + 8 + 4x + 2x = 2(x + -3)

Combine like terms: -12 + 8 = -4
-4 + 4x + 2x = 2(x + -3)

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

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

Solving
-4 + 6x = -6 + 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.
-4 + 6x + -2x = -6 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
-4 + 4x = -6 + 0
-4 + 4x = -6

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

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

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

Divide each side by '4'.
x = -0.5

Simplifying
x = -0.5

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