3x+5=4(3x-7)

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Solution for 3x+5=4(3x-7) equation:


Simplifying
3x + 5 = 4(3x + -7)

Reorder the terms:
5 + 3x = 4(3x + -7)

Reorder the terms:
5 + 3x = 4(-7 + 3x)
5 + 3x = (-7 * 4 + 3x * 4)
5 + 3x = (-28 + 12x)

Solving
5 + 3x = -28 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
5 + 3x + -12x = -28 + 12x + -12x

Combine like terms: 3x + -12x = -9x
5 + -9x = -28 + 12x + -12x

Combine like terms: 12x + -12x = 0
5 + -9x = -28 + 0
5 + -9x = -28

Add '-5' to each side of the equation.
5 + -5 + -9x = -28 + -5

Combine like terms: 5 + -5 = 0
0 + -9x = -28 + -5
-9x = -28 + -5

Combine like terms: -28 + -5 = -33
-9x = -33

Divide each side by '-9'.
x = 3.666666667

Simplifying
x = 3.666666667

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