2(3x-5)-4=2(x-3)+28

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Solution for 2(3x-5)-4=2(x-3)+28 equation:


Simplifying
2(3x + -5) + -4 = 2(x + -3) + 28

Reorder the terms:
2(-5 + 3x) + -4 = 2(x + -3) + 28
(-5 * 2 + 3x * 2) + -4 = 2(x + -3) + 28
(-10 + 6x) + -4 = 2(x + -3) + 28

Reorder the terms:
-10 + -4 + 6x = 2(x + -3) + 28

Combine like terms: -10 + -4 = -14
-14 + 6x = 2(x + -3) + 28

Reorder the terms:
-14 + 6x = 2(-3 + x) + 28
-14 + 6x = (-3 * 2 + x * 2) + 28
-14 + 6x = (-6 + 2x) + 28

Reorder the terms:
-14 + 6x = -6 + 28 + 2x

Combine like terms: -6 + 28 = 22
-14 + 6x = 22 + 2x

Solving
-14 + 6x = 22 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-14 + 6x + -2x = 22 + 2x + -2x

Combine like terms: 6x + -2x = 4x
-14 + 4x = 22 + 2x + -2x

Combine like terms: 2x + -2x = 0
-14 + 4x = 22 + 0
-14 + 4x = 22

Add '14' to each side of the equation.
-14 + 14 + 4x = 22 + 14

Combine like terms: -14 + 14 = 0
0 + 4x = 22 + 14
4x = 22 + 14

Combine like terms: 22 + 14 = 36
4x = 36

Divide each side by '4'.
x = 9

Simplifying
x = 9

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