5(x-2)-2x=7(x+4)-38

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Solution for 5(x-2)-2x=7(x+4)-38 equation: 


Simplifying
5(x + -2) + -2x = 7(x + 4) + -38

Reorder the terms:
5(-2 + x) + -2x = 7(x + 4) + -38
(-2 * 5 + x * 5) + -2x = 7(x + 4) + -38
(-10 + 5x) + -2x = 7(x + 4) + -38

Combine like terms: 5x + -2x = 3x
-10 + 3x = 7(x + 4) + -38

Reorder the terms:
-10 + 3x = 7(4 + x) + -38
-10 + 3x = (4 * 7 + x * 7) + -38
-10 + 3x = (28 + 7x) + -38

Reorder the terms:
-10 + 3x = 28 + -38 + 7x

Combine like terms: 28 + -38 = -10
-10 + 3x = -10 + 7x

Add '10' to each side of the equation.
-10 + 10 + 3x = -10 + 10 + 7x

Combine like terms: -10 + 10 = 0
0 + 3x = -10 + 10 + 7x
3x = -10 + 10 + 7x

Combine like terms: -10 + 10 = 0
3x = 0 + 7x
3x = 7x

Solving
3x = 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
3x + -7x = 7x + -7x

Combine like terms: 3x + -7x = -4x
-4x = 7x + -7x

Combine like terms: 7x + -7x = 0
-4x = 0

Divide each side by '-4'.
x = 0

Simplifying
x = 0

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