4(x-7)=2x-38

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


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

Reorder the terms:
4(-7 + x) = 2x + -38
(-7 * 4 + x * 4) = 2x + -38
(-28 + 4x) = 2x + -38

Reorder the terms:
-28 + 4x = -38 + 2x

Solving
-28 + 4x = -38 + 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.
-28 + 4x + -2x = -38 + 2x + -2x

Combine like terms: 4x + -2x = 2x
-28 + 2x = -38 + 2x + -2x

Combine like terms: 2x + -2x = 0
-28 + 2x = -38 + 0
-28 + 2x = -38

Add '28' to each side of the equation.
-28 + 28 + 2x = -38 + 28

Combine like terms: -28 + 28 = 0
0 + 2x = -38 + 28
2x = -38 + 28

Combine like terms: -38 + 28 = -10
2x = -10

Divide each side by '2'.
x = -5

Simplifying
x = -5

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