3x+21=10x-49

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Solution for 3x+21=10x-49 equation:


Simplifying
3x + 21 = 10x + -49

Reorder the terms:
21 + 3x = 10x + -49

Reorder the terms:
21 + 3x = -49 + 10x

Solving
21 + 3x = -49 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
21 + 3x + -10x = -49 + 10x + -10x

Combine like terms: 3x + -10x = -7x
21 + -7x = -49 + 10x + -10x

Combine like terms: 10x + -10x = 0
21 + -7x = -49 + 0
21 + -7x = -49

Add '-21' to each side of the equation.
21 + -21 + -7x = -49 + -21

Combine like terms: 21 + -21 = 0
0 + -7x = -49 + -21
-7x = -49 + -21

Combine like terms: -49 + -21 = -70
-7x = -70

Divide each side by '-7'.
x = 10

Simplifying
x = 10

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