3(x-2)+12(x-7)=2x-3(x-5)

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Solution for 3(x-2)+12(x-7)=2x-3(x-5) equation:


Simplifying
3(x + -2) + 12(x + -7) = 2x + -3(x + -5)

Reorder the terms:
3(-2 + x) + 12(x + -7) = 2x + -3(x + -5)
(-2 * 3 + x * 3) + 12(x + -7) = 2x + -3(x + -5)
(-6 + 3x) + 12(x + -7) = 2x + -3(x + -5)

Reorder the terms:
-6 + 3x + 12(-7 + x) = 2x + -3(x + -5)
-6 + 3x + (-7 * 12 + x * 12) = 2x + -3(x + -5)
-6 + 3x + (-84 + 12x) = 2x + -3(x + -5)

Reorder the terms:
-6 + -84 + 3x + 12x = 2x + -3(x + -5)

Combine like terms: -6 + -84 = -90
-90 + 3x + 12x = 2x + -3(x + -5)

Combine like terms: 3x + 12x = 15x
-90 + 15x = 2x + -3(x + -5)

Reorder the terms:
-90 + 15x = 2x + -3(-5 + x)
-90 + 15x = 2x + (-5 * -3 + x * -3)
-90 + 15x = 2x + (15 + -3x)

Reorder the terms:
-90 + 15x = 15 + 2x + -3x

Combine like terms: 2x + -3x = -1x
-90 + 15x = 15 + -1x

Solving
-90 + 15x = 15 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-90 + 15x + x = 15 + -1x + x

Combine like terms: 15x + x = 16x
-90 + 16x = 15 + -1x + x

Combine like terms: -1x + x = 0
-90 + 16x = 15 + 0
-90 + 16x = 15

Add '90' to each side of the equation.
-90 + 90 + 16x = 15 + 90

Combine like terms: -90 + 90 = 0
0 + 16x = 15 + 90
16x = 15 + 90

Combine like terms: 15 + 90 = 105
16x = 105

Divide each side by '16'.
x = 6.5625

Simplifying
x = 6.5625

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