4x+9=3(x-7)-8

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Solution for 4x+9=3(x-7)-8 equation: 


Simplifying
4x + 9 = 3(x + -7) + -8

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

Reorder the terms:
9 + 4x = 3(-7 + x) + -8
9 + 4x = (-7 * 3 + x * 3) + -8
9 + 4x = (-21 + 3x) + -8

Reorder the terms:
9 + 4x = -21 + -8 + 3x

Combine like terms: -21 + -8 = -29
9 + 4x = -29 + 3x

Solving
9 + 4x = -29 + 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.
9 + 4x + -3x = -29 + 3x + -3x

Combine like terms: 4x + -3x = 1x
9 + 1x = -29 + 3x + -3x

Combine like terms: 3x + -3x = 0
9 + 1x = -29 + 0
9 + 1x = -29

Add '-9' to each side of the equation.
9 + -9 + 1x = -29 + -9

Combine like terms: 9 + -9 = 0
0 + 1x = -29 + -9
1x = -29 + -9

Combine like terms: -29 + -9 = -38
1x = -38

Divide each side by '1'.
x = -38

Simplifying
x = -38

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