4(3x-9)-7=4(x-3)+25

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Solution for 4(3x-9)-7=4(x-3)+25 equation:


Simplifying
4(3x + -9) + -7 = 4(x + -3) + 25

Reorder the terms:
4(-9 + 3x) + -7 = 4(x + -3) + 25
(-9 * 4 + 3x * 4) + -7 = 4(x + -3) + 25
(-36 + 12x) + -7 = 4(x + -3) + 25

Reorder the terms:
-36 + -7 + 12x = 4(x + -3) + 25

Combine like terms: -36 + -7 = -43
-43 + 12x = 4(x + -3) + 25

Reorder the terms:
-43 + 12x = 4(-3 + x) + 25
-43 + 12x = (-3 * 4 + x * 4) + 25
-43 + 12x = (-12 + 4x) + 25

Reorder the terms:
-43 + 12x = -12 + 25 + 4x

Combine like terms: -12 + 25 = 13
-43 + 12x = 13 + 4x

Solving
-43 + 12x = 13 + 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.
-43 + 12x + -4x = 13 + 4x + -4x

Combine like terms: 12x + -4x = 8x
-43 + 8x = 13 + 4x + -4x

Combine like terms: 4x + -4x = 0
-43 + 8x = 13 + 0
-43 + 8x = 13

Add '43' to each side of the equation.
-43 + 43 + 8x = 13 + 43

Combine like terms: -43 + 43 = 0
0 + 8x = 13 + 43
8x = 13 + 43

Combine like terms: 13 + 43 = 56
8x = 56

Divide each side by '8'.
x = 7

Simplifying
x = 7

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