8-3(x-7)=4(x-2)+9

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Solution for 8-3(x-7)=4(x-2)+9 equation: 


Simplifying
8 + -3(x + -7) = 4(x + -2) + 9

Reorder the terms:
8 + -3(-7 + x) = 4(x + -2) + 9
8 + (-7 * -3 + x * -3) = 4(x + -2) + 9
8 + (21 + -3x) = 4(x + -2) + 9

Combine like terms: 8 + 21 = 29
29 + -3x = 4(x + -2) + 9

Reorder the terms:
29 + -3x = 4(-2 + x) + 9
29 + -3x = (-2 * 4 + x * 4) + 9
29 + -3x = (-8 + 4x) + 9

Reorder the terms:
29 + -3x = -8 + 9 + 4x

Combine like terms: -8 + 9 = 1
29 + -3x = 1 + 4x

Solving
29 + -3x = 1 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
29 + -3x + -4x = 1 + 4x + -4x

Combine like terms: -3x + -4x = -7x
29 + -7x = 1 + 4x + -4x

Combine like terms: 4x + -4x = 0
29 + -7x = 1 + 0
29 + -7x = 1

Add '-29' to each side of the equation.
29 + -29 + -7x = 1 + -29

Combine like terms: 29 + -29 = 0
0 + -7x = 1 + -29
-7x = 1 + -29

Combine like terms: 1 + -29 = -28
-7x = -28

Divide each side by '-7'.
x = 4

Simplifying
x = 4

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