4(3x-7)-2=4(x-5)+22

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Solution for 4(3x-7)-2=4(x-5)+22 equation:


Simplifying
4(3x + -7) + -2 = 4(x + -5) + 22

Reorder the terms:
4(-7 + 3x) + -2 = 4(x + -5) + 22
(-7 * 4 + 3x * 4) + -2 = 4(x + -5) + 22
(-28 + 12x) + -2 = 4(x + -5) + 22

Reorder the terms:
-28 + -2 + 12x = 4(x + -5) + 22

Combine like terms: -28 + -2 = -30
-30 + 12x = 4(x + -5) + 22

Reorder the terms:
-30 + 12x = 4(-5 + x) + 22
-30 + 12x = (-5 * 4 + x * 4) + 22
-30 + 12x = (-20 + 4x) + 22

Reorder the terms:
-30 + 12x = -20 + 22 + 4x

Combine like terms: -20 + 22 = 2
-30 + 12x = 2 + 4x

Solving
-30 + 12x = 2 + 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 = 2 + 4x + -4x

Combine like terms: 12x + -4x = 8x
-30 + 8x = 2 + 4x + -4x

Combine like terms: 4x + -4x = 0
-30 + 8x = 2 + 0
-30 + 8x = 2

Add '30' to each side of the equation.
-30 + 30 + 8x = 2 + 30

Combine like terms: -30 + 30 = 0
0 + 8x = 2 + 30
8x = 2 + 30

Combine like terms: 2 + 30 = 32
8x = 32

Divide each side by '8'.
x = 4

Simplifying
x = 4

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