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

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


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

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

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

Combine like terms: -12 + -2 = -14
-14 + 4x + 3x = 6(x + 7)

Combine like terms: 4x + 3x = 7x
-14 + 7x = 6(x + 7)

Reorder the terms:
-14 + 7x = 6(7 + x)
-14 + 7x = (7 * 6 + x * 6)
-14 + 7x = (42 + 6x)

Solving
-14 + 7x = 42 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-14 + 7x + -6x = 42 + 6x + -6x

Combine like terms: 7x + -6x = 1x
-14 + 1x = 42 + 6x + -6x

Combine like terms: 6x + -6x = 0
-14 + 1x = 42 + 0
-14 + 1x = 42

Add '14' to each side of the equation.
-14 + 14 + 1x = 42 + 14

Combine like terms: -14 + 14 = 0
0 + 1x = 42 + 14
1x = 42 + 14

Combine like terms: 42 + 14 = 56
1x = 56

Divide each side by '1'.
x = 56

Simplifying
x = 56

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