6x-3(x-3)=4(x+1)+4

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Solution for 6x-3(x-3)=4(x+1)+4 equation:


Simplifying
6x + -3(x + -3) = 4(x + 1) + 4

Reorder the terms:
6x + -3(-3 + x) = 4(x + 1) + 4
6x + (-3 * -3 + x * -3) = 4(x + 1) + 4
6x + (9 + -3x) = 4(x + 1) + 4

Reorder the terms:
9 + 6x + -3x = 4(x + 1) + 4

Combine like terms: 6x + -3x = 3x
9 + 3x = 4(x + 1) + 4

Reorder the terms:
9 + 3x = 4(1 + x) + 4
9 + 3x = (1 * 4 + x * 4) + 4
9 + 3x = (4 + 4x) + 4

Reorder the terms:
9 + 3x = 4 + 4 + 4x

Combine like terms: 4 + 4 = 8
9 + 3x = 8 + 4x

Solving
9 + 3x = 8 + 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.
9 + 3x + -4x = 8 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
9 + -1x = 8 + 0
9 + -1x = 8

Add '-9' to each side of the equation.
9 + -9 + -1x = 8 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = 8 + -9
-1x = 8 + -9

Combine like terms: 8 + -9 = -1
-1x = -1

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

Simplifying
x = 1

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