2(a-6)-4(a-3-x)=3a-3x

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


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

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

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

Reorder the terms:
-12 + 12 + 2a + -4a + 4x = 3a + -3x

Combine like terms: -12 + 12 = 0
0 + 2a + -4a + 4x = 3a + -3x
2a + -4a + 4x = 3a + -3x

Combine like terms: 2a + -4a = -2a
-2a + 4x = 3a + -3x

Solving
-2a + 4x = 3a + -3x

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
-2a + -3a + 4x = 3a + -3a + -3x

Combine like terms: -2a + -3a = -5a
-5a + 4x = 3a + -3a + -3x

Combine like terms: 3a + -3a = 0
-5a + 4x = 0 + -3x
-5a + 4x = -3x

Add '-4x' to each side of the equation.
-5a + 4x + -4x = -3x + -4x

Combine like terms: 4x + -4x = 0
-5a + 0 = -3x + -4x
-5a = -3x + -4x

Combine like terms: -3x + -4x = -7x
-5a = -7x

Divide each side by '-5'.
a = 1.4x

Simplifying
a = 1.4x

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