3(x-5)-7=4(x+9)-3x

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Solution for 3(x-5)-7=4(x+9)-3x equation:


Simplifying
3(x + -5) + -7 = 4(x + 9) + -3x

Reorder the terms:
3(-5 + x) + -7 = 4(x + 9) + -3x
(-5 * 3 + x * 3) + -7 = 4(x + 9) + -3x
(-15 + 3x) + -7 = 4(x + 9) + -3x

Reorder the terms:
-15 + -7 + 3x = 4(x + 9) + -3x

Combine like terms: -15 + -7 = -22
-22 + 3x = 4(x + 9) + -3x

Reorder the terms:
-22 + 3x = 4(9 + x) + -3x
-22 + 3x = (9 * 4 + x * 4) + -3x
-22 + 3x = (36 + 4x) + -3x

Combine like terms: 4x + -3x = 1x
-22 + 3x = 36 + 1x

Solving
-22 + 3x = 36 + 1x

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.
-22 + 3x + -1x = 36 + 1x + -1x

Combine like terms: 3x + -1x = 2x
-22 + 2x = 36 + 1x + -1x

Combine like terms: 1x + -1x = 0
-22 + 2x = 36 + 0
-22 + 2x = 36

Add '22' to each side of the equation.
-22 + 22 + 2x = 36 + 22

Combine like terms: -22 + 22 = 0
0 + 2x = 36 + 22
2x = 36 + 22

Combine like terms: 36 + 22 = 58
2x = 58

Divide each side by '2'.
x = 29

Simplifying
x = 29

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