-7x+11=3(x-3)

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Solution for -7x+11=3(x-3) equation:


Simplifying
-7x + 11 = 3(x + -3)

Reorder the terms:
11 + -7x = 3(x + -3)

Reorder the terms:
11 + -7x = 3(-3 + x)
11 + -7x = (-3 * 3 + x * 3)
11 + -7x = (-9 + 3x)

Solving
11 + -7x = -9 + 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.
11 + -7x + -3x = -9 + 3x + -3x

Combine like terms: -7x + -3x = -10x
11 + -10x = -9 + 3x + -3x

Combine like terms: 3x + -3x = 0
11 + -10x = -9 + 0
11 + -10x = -9

Add '-11' to each side of the equation.
11 + -11 + -10x = -9 + -11

Combine like terms: 11 + -11 = 0
0 + -10x = -9 + -11
-10x = -9 + -11

Combine like terms: -9 + -11 = -20
-10x = -20

Divide each side by '-10'.
x = 2

Simplifying
x = 2

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