7x+8=3+3(3x-4)

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Solution for 7x+8=3+3(3x-4) equation:


Simplifying
7x + 8 = 3 + 3(3x + -4)

Reorder the terms:
8 + 7x = 3 + 3(3x + -4)

Reorder the terms:
8 + 7x = 3 + 3(-4 + 3x)
8 + 7x = 3 + (-4 * 3 + 3x * 3)
8 + 7x = 3 + (-12 + 9x)

Combine like terms: 3 + -12 = -9
8 + 7x = -9 + 9x

Solving
8 + 7x = -9 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
8 + 7x + -9x = -9 + 9x + -9x

Combine like terms: 7x + -9x = -2x
8 + -2x = -9 + 9x + -9x

Combine like terms: 9x + -9x = 0
8 + -2x = -9 + 0
8 + -2x = -9

Add '-8' to each side of the equation.
8 + -8 + -2x = -9 + -8

Combine like terms: 8 + -8 = 0
0 + -2x = -9 + -8
-2x = -9 + -8

Combine like terms: -9 + -8 = -17
-2x = -17

Divide each side by '-2'.
x = 8.5

Simplifying
x = 8.5

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