4(3x-7)-6=4(x-3)+18

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Solution for 4(3x-7)-6=4(x-3)+18 equation:


Simplifying
4(3x + -7) + -6 = 4(x + -3) + 18

Reorder the terms:
4(-7 + 3x) + -6 = 4(x + -3) + 18
(-7 * 4 + 3x * 4) + -6 = 4(x + -3) + 18
(-28 + 12x) + -6 = 4(x + -3) + 18

Reorder the terms:
-28 + -6 + 12x = 4(x + -3) + 18

Combine like terms: -28 + -6 = -34
-34 + 12x = 4(x + -3) + 18

Reorder the terms:
-34 + 12x = 4(-3 + x) + 18
-34 + 12x = (-3 * 4 + x * 4) + 18
-34 + 12x = (-12 + 4x) + 18

Reorder the terms:
-34 + 12x = -12 + 18 + 4x

Combine like terms: -12 + 18 = 6
-34 + 12x = 6 + 4x

Solving
-34 + 12x = 6 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-34 + 12x + -4x = 6 + 4x + -4x

Combine like terms: 12x + -4x = 8x
-34 + 8x = 6 + 4x + -4x

Combine like terms: 4x + -4x = 0
-34 + 8x = 6 + 0
-34 + 8x = 6

Add '34' to each side of the equation.
-34 + 34 + 8x = 6 + 34

Combine like terms: -34 + 34 = 0
0 + 8x = 6 + 34
8x = 6 + 34

Combine like terms: 6 + 34 = 40
8x = 40

Divide each side by '8'.
x = 5

Simplifying
x = 5

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