4(2x-7)-2=4(x-2)-14

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Solution for 4(2x-7)-2=4(x-2)-14 equation:


Simplifying
4(2x + -7) + -2 = 4(x + -2) + -14

Reorder the terms:
4(-7 + 2x) + -2 = 4(x + -2) + -14
(-7 * 4 + 2x * 4) + -2 = 4(x + -2) + -14
(-28 + 8x) + -2 = 4(x + -2) + -14

Reorder the terms:
-28 + -2 + 8x = 4(x + -2) + -14

Combine like terms: -28 + -2 = -30
-30 + 8x = 4(x + -2) + -14

Reorder the terms:
-30 + 8x = 4(-2 + x) + -14
-30 + 8x = (-2 * 4 + x * 4) + -14
-30 + 8x = (-8 + 4x) + -14

Reorder the terms:
-30 + 8x = -8 + -14 + 4x

Combine like terms: -8 + -14 = -22
-30 + 8x = -22 + 4x

Solving
-30 + 8x = -22 + 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 + 8x + -4x = -22 + 4x + -4x

Combine like terms: 8x + -4x = 4x
-30 + 4x = -22 + 4x + -4x

Combine like terms: 4x + -4x = 0
-30 + 4x = -22 + 0
-30 + 4x = -22

Add '30' to each side of the equation.
-30 + 30 + 4x = -22 + 30

Combine like terms: -30 + 30 = 0
0 + 4x = -22 + 30
4x = -22 + 30

Combine like terms: -22 + 30 = 8
4x = 8

Divide each side by '4'.
x = 2

Simplifying
x = 2

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