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

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


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

Reorder the terms:
4(-9 + 3x) + 7 = x + 4
(-9 * 4 + 3x * 4) + 7 = x + 4
(-36 + 12x) + 7 = x + 4

Reorder the terms:
-36 + 7 + 12x = x + 4

Combine like terms: -36 + 7 = -29
-29 + 12x = x + 4

Reorder the terms:
-29 + 12x = 4 + x

Solving
-29 + 12x = 4 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-29 + 12x + -1x = 4 + x + -1x

Combine like terms: 12x + -1x = 11x
-29 + 11x = 4 + x + -1x

Combine like terms: x + -1x = 0
-29 + 11x = 4 + 0
-29 + 11x = 4

Add '29' to each side of the equation.
-29 + 29 + 11x = 4 + 29

Combine like terms: -29 + 29 = 0
0 + 11x = 4 + 29
11x = 4 + 29

Combine like terms: 4 + 29 = 33
11x = 33

Divide each side by '11'.
x = 3

Simplifying
x = 3

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