7(x+3)=10x-3

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Solution for 7(x+3)=10x-3 equation:


Simplifying
7(x + 3) = 10x + -3

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

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

Solving
21 + 7x = -3 + 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 + 7x + -10x = -3 + 10x + -10x

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

Combine like terms: 10x + -10x = 0
21 + -3x = -3 + 0
21 + -3x = -3

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

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

Combine like terms: -3 + -21 = -24
-3x = -24

Divide each side by '-3'.
x = 8

Simplifying
x = 8

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