4(x-2)-(5x-9)=3(5x-1)12

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Solution for 4(x-2)-(5x-9)=3(5x-1)12 equation:


Simplifying
4(x + -2) + -1(5x + -9) = 3(5x + -1) * 12

Reorder the terms:
4(-2 + x) + -1(5x + -9) = 3(5x + -1) * 12
(-2 * 4 + x * 4) + -1(5x + -9) = 3(5x + -1) * 12
(-8 + 4x) + -1(5x + -9) = 3(5x + -1) * 12

Reorder the terms:
-8 + 4x + -1(-9 + 5x) = 3(5x + -1) * 12
-8 + 4x + (-9 * -1 + 5x * -1) = 3(5x + -1) * 12
-8 + 4x + (9 + -5x) = 3(5x + -1) * 12

Reorder the terms:
-8 + 9 + 4x + -5x = 3(5x + -1) * 12

Combine like terms: -8 + 9 = 1
1 + 4x + -5x = 3(5x + -1) * 12

Combine like terms: 4x + -5x = -1x
1 + -1x = 3(5x + -1) * 12

Reorder the terms:
1 + -1x = 3(-1 + 5x) * 12

Reorder the terms for easier multiplication:
1 + -1x = 3 * 12(-1 + 5x)

Multiply 3 * 12
1 + -1x = 36(-1 + 5x)
1 + -1x = (-1 * 36 + 5x * 36)
1 + -1x = (-36 + 180x)

Solving
1 + -1x = -36 + 180x

Solving for variable 'x'.

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

Add '-180x' to each side of the equation.
1 + -1x + -180x = -36 + 180x + -180x

Combine like terms: -1x + -180x = -181x
1 + -181x = -36 + 180x + -180x

Combine like terms: 180x + -180x = 0
1 + -181x = -36 + 0
1 + -181x = -36

Add '-1' to each side of the equation.
1 + -1 + -181x = -36 + -1

Combine like terms: 1 + -1 = 0
0 + -181x = -36 + -1
-181x = -36 + -1

Combine like terms: -36 + -1 = -37
-181x = -37

Divide each side by '-181'.
x = 0.2044198895

Simplifying
x = 0.2044198895

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