10x+7=3x-21

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Solution for 10x+7=3x-21 equation:


Simplifying
10x + 7 = 3x + -21

Reorder the terms:
7 + 10x = 3x + -21

Reorder the terms:
7 + 10x = -21 + 3x

Solving
7 + 10x = -21 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
7 + 10x + -3x = -21 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
7 + 7x = -21 + 0
7 + 7x = -21

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

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

Combine like terms: -21 + -7 = -28
7x = -28

Divide each side by '7'.
x = -4

Simplifying
x = -4

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