x-4-2x+5=3(2x-4)

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Solution for x-4-2x+5=3(2x-4) equation:


Simplifying
x + -4 + -2x + 5 = 3(2x + -4)

Reorder the terms:
-4 + 5 + x + -2x = 3(2x + -4)

Combine like terms: -4 + 5 = 1
1 + x + -2x = 3(2x + -4)

Combine like terms: x + -2x = -1x
1 + -1x = 3(2x + -4)

Reorder the terms:
1 + -1x = 3(-4 + 2x)
1 + -1x = (-4 * 3 + 2x * 3)
1 + -1x = (-12 + 6x)

Solving
1 + -1x = -12 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
1 + -1x + -6x = -12 + 6x + -6x

Combine like terms: -1x + -6x = -7x
1 + -7x = -12 + 6x + -6x

Combine like terms: 6x + -6x = 0
1 + -7x = -12 + 0
1 + -7x = -12

Add '-1' to each side of the equation.
1 + -1 + -7x = -12 + -1

Combine like terms: 1 + -1 = 0
0 + -7x = -12 + -1
-7x = -12 + -1

Combine like terms: -12 + -1 = -13
-7x = -13

Divide each side by '-7'.
x = 1.857142857

Simplifying
x = 1.857142857

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