4(3x-7)=65-3(4x-9)

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Solution for 4(3x-7)=65-3(4x-9) equation:


Simplifying
4(3x + -7) = 65 + -3(4x + -9)

Reorder the terms:
4(-7 + 3x) = 65 + -3(4x + -9)
(-7 * 4 + 3x * 4) = 65 + -3(4x + -9)
(-28 + 12x) = 65 + -3(4x + -9)

Reorder the terms:
-28 + 12x = 65 + -3(-9 + 4x)
-28 + 12x = 65 + (-9 * -3 + 4x * -3)
-28 + 12x = 65 + (27 + -12x)

Combine like terms: 65 + 27 = 92
-28 + 12x = 92 + -12x

Solving
-28 + 12x = 92 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
-28 + 12x + 12x = 92 + -12x + 12x

Combine like terms: 12x + 12x = 24x
-28 + 24x = 92 + -12x + 12x

Combine like terms: -12x + 12x = 0
-28 + 24x = 92 + 0
-28 + 24x = 92

Add '28' to each side of the equation.
-28 + 28 + 24x = 92 + 28

Combine like terms: -28 + 28 = 0
0 + 24x = 92 + 28
24x = 92 + 28

Combine like terms: 92 + 28 = 120
24x = 120

Divide each side by '24'.
x = 5

Simplifying
x = 5

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