x+7=5(3x-3)

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Solution for x+7=5(3x-3) equation:


Simplifying
x + 7 = 5(3x + -3)

Reorder the terms:
7 + x = 5(3x + -3)

Reorder the terms:
7 + x = 5(-3 + 3x)
7 + x = (-3 * 5 + 3x * 5)
7 + x = (-15 + 15x)

Solving
7 + x = -15 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
7 + x + -15x = -15 + 15x + -15x

Combine like terms: x + -15x = -14x
7 + -14x = -15 + 15x + -15x

Combine like terms: 15x + -15x = 0
7 + -14x = -15 + 0
7 + -14x = -15

Add '-7' to each side of the equation.
7 + -7 + -14x = -15 + -7

Combine like terms: 7 + -7 = 0
0 + -14x = -15 + -7
-14x = -15 + -7

Combine like terms: -15 + -7 = -22
-14x = -22

Divide each side by '-14'.
x = 1.571428571

Simplifying
x = 1.571428571

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