4(x-3)=8-6(2-3x)

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Solution for 4(x-3)=8-6(2-3x) equation:


Simplifying
4(x + -3) = 8 + -6(2 + -3x)

Reorder the terms:
4(-3 + x) = 8 + -6(2 + -3x)
(-3 * 4 + x * 4) = 8 + -6(2 + -3x)
(-12 + 4x) = 8 + -6(2 + -3x)
-12 + 4x = 8 + (2 * -6 + -3x * -6)
-12 + 4x = 8 + (-12 + 18x)

Combine like terms: 8 + -12 = -4
-12 + 4x = -4 + 18x

Solving
-12 + 4x = -4 + 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
-12 + 4x + -18x = -4 + 18x + -18x

Combine like terms: 4x + -18x = -14x
-12 + -14x = -4 + 18x + -18x

Combine like terms: 18x + -18x = 0
-12 + -14x = -4 + 0
-12 + -14x = -4

Add '12' to each side of the equation.
-12 + 12 + -14x = -4 + 12

Combine like terms: -12 + 12 = 0
0 + -14x = -4 + 12
-14x = -4 + 12

Combine like terms: -4 + 12 = 8
-14x = 8

Divide each side by '-14'.
x = -0.5714285714

Simplifying
x = -0.5714285714

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