7x-10=3(x+1)-9

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Solution for 7x-10=3(x+1)-9 equation:


Simplifying
7x + -10 = 3(x + 1) + -9

Reorder the terms:
-10 + 7x = 3(x + 1) + -9

Reorder the terms:
-10 + 7x = 3(1 + x) + -9
-10 + 7x = (1 * 3 + x * 3) + -9
-10 + 7x = (3 + 3x) + -9

Reorder the terms:
-10 + 7x = 3 + -9 + 3x

Combine like terms: 3 + -9 = -6
-10 + 7x = -6 + 3x

Solving
-10 + 7x = -6 + 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.
-10 + 7x + -3x = -6 + 3x + -3x

Combine like terms: 7x + -3x = 4x
-10 + 4x = -6 + 3x + -3x

Combine like terms: 3x + -3x = 0
-10 + 4x = -6 + 0
-10 + 4x = -6

Add '10' to each side of the equation.
-10 + 10 + 4x = -6 + 10

Combine like terms: -10 + 10 = 0
0 + 4x = -6 + 10
4x = -6 + 10

Combine like terms: -6 + 10 = 4
4x = 4

Divide each side by '4'.
x = 1

Simplifying
x = 1

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