4(3x-7)-2=4(x-3)+30

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Solution for 4(3x-7)-2=4(x-3)+30 equation:


Simplifying
4(3x + -7) + -2 = 4(x + -3) + 30

Reorder the terms:
4(-7 + 3x) + -2 = 4(x + -3) + 30
(-7 * 4 + 3x * 4) + -2 = 4(x + -3) + 30
(-28 + 12x) + -2 = 4(x + -3) + 30

Reorder the terms:
-28 + -2 + 12x = 4(x + -3) + 30

Combine like terms: -28 + -2 = -30
-30 + 12x = 4(x + -3) + 30

Reorder the terms:
-30 + 12x = 4(-3 + x) + 30
-30 + 12x = (-3 * 4 + x * 4) + 30
-30 + 12x = (-12 + 4x) + 30

Reorder the terms:
-30 + 12x = -12 + 30 + 4x

Combine like terms: -12 + 30 = 18
-30 + 12x = 18 + 4x

Solving
-30 + 12x = 18 + 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.
-30 + 12x + -4x = 18 + 4x + -4x

Combine like terms: 12x + -4x = 8x
-30 + 8x = 18 + 4x + -4x

Combine like terms: 4x + -4x = 0
-30 + 8x = 18 + 0
-30 + 8x = 18

Add '30' to each side of the equation.
-30 + 30 + 8x = 18 + 30

Combine like terms: -30 + 30 = 0
0 + 8x = 18 + 30
8x = 18 + 30

Combine like terms: 18 + 30 = 48
8x = 48

Divide each side by '8'.
x = 6

Simplifying
x = 6

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