7(x+15)=3(x-9)

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Solution for 7(x+15)=3(x-9) equation:


Simplifying
7(x + 15) = 3(x + -9)

Reorder the terms:
7(15 + x) = 3(x + -9)
(15 * 7 + x * 7) = 3(x + -9)
(105 + 7x) = 3(x + -9)

Reorder the terms:
105 + 7x = 3(-9 + x)
105 + 7x = (-9 * 3 + x * 3)
105 + 7x = (-27 + 3x)

Solving
105 + 7x = -27 + 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.
105 + 7x + -3x = -27 + 3x + -3x

Combine like terms: 7x + -3x = 4x
105 + 4x = -27 + 3x + -3x

Combine like terms: 3x + -3x = 0
105 + 4x = -27 + 0
105 + 4x = -27

Add '-105' to each side of the equation.
105 + -105 + 4x = -27 + -105

Combine like terms: 105 + -105 = 0
0 + 4x = -27 + -105
4x = -27 + -105

Combine like terms: -27 + -105 = -132
4x = -132

Divide each side by '4'.
x = -33

Simplifying
x = -33

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