48(2x-5)-36(2x-3)=12(x-6)

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Solution for 48(2x-5)-36(2x-3)=12(x-6) equation:


Simplifying
48(2x + -5) + -36(2x + -3) = 12(x + -6)

Reorder the terms:
48(-5 + 2x) + -36(2x + -3) = 12(x + -6)
(-5 * 48 + 2x * 48) + -36(2x + -3) = 12(x + -6)
(-240 + 96x) + -36(2x + -3) = 12(x + -6)

Reorder the terms:
-240 + 96x + -36(-3 + 2x) = 12(x + -6)
-240 + 96x + (-3 * -36 + 2x * -36) = 12(x + -6)
-240 + 96x + (108 + -72x) = 12(x + -6)

Reorder the terms:
-240 + 108 + 96x + -72x = 12(x + -6)

Combine like terms: -240 + 108 = -132
-132 + 96x + -72x = 12(x + -6)

Combine like terms: 96x + -72x = 24x
-132 + 24x = 12(x + -6)

Reorder the terms:
-132 + 24x = 12(-6 + x)
-132 + 24x = (-6 * 12 + x * 12)
-132 + 24x = (-72 + 12x)

Solving
-132 + 24x = -72 + 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.
-132 + 24x + -12x = -72 + 12x + -12x

Combine like terms: 24x + -12x = 12x
-132 + 12x = -72 + 12x + -12x

Combine like terms: 12x + -12x = 0
-132 + 12x = -72 + 0
-132 + 12x = -72

Add '132' to each side of the equation.
-132 + 132 + 12x = -72 + 132

Combine like terms: -132 + 132 = 0
0 + 12x = -72 + 132
12x = -72 + 132

Combine like terms: -72 + 132 = 60
12x = 60

Divide each side by '12'.
x = 5

Simplifying
x = 5

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