10x-7=38x+49

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Solution for 10x-7=38x+49 equation:


Simplifying
10x + -7 = 38x + 49

Reorder the terms:
-7 + 10x = 38x + 49

Reorder the terms:
-7 + 10x = 49 + 38x

Solving
-7 + 10x = 49 + 38x

Solving for variable 'x'.

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

Add '-38x' to each side of the equation.
-7 + 10x + -38x = 49 + 38x + -38x

Combine like terms: 10x + -38x = -28x
-7 + -28x = 49 + 38x + -38x

Combine like terms: 38x + -38x = 0
-7 + -28x = 49 + 0
-7 + -28x = 49

Add '7' to each side of the equation.
-7 + 7 + -28x = 49 + 7

Combine like terms: -7 + 7 = 0
0 + -28x = 49 + 7
-28x = 49 + 7

Combine like terms: 49 + 7 = 56
-28x = 56

Divide each side by '-28'.
x = -2

Simplifying
x = -2

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