2(3x-7)+6=4(5x-1)

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Solution for 2(3x-7)+6=4(5x-1) equation:


Simplifying
2(3x + -7) + 6 = 4(5x + -1)

Reorder the terms:
2(-7 + 3x) + 6 = 4(5x + -1)
(-7 * 2 + 3x * 2) + 6 = 4(5x + -1)
(-14 + 6x) + 6 = 4(5x + -1)

Reorder the terms:
-14 + 6 + 6x = 4(5x + -1)

Combine like terms: -14 + 6 = -8
-8 + 6x = 4(5x + -1)

Reorder the terms:
-8 + 6x = 4(-1 + 5x)
-8 + 6x = (-1 * 4 + 5x * 4)
-8 + 6x = (-4 + 20x)

Solving
-8 + 6x = -4 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
-8 + 6x + -20x = -4 + 20x + -20x

Combine like terms: 6x + -20x = -14x
-8 + -14x = -4 + 20x + -20x

Combine like terms: 20x + -20x = 0
-8 + -14x = -4 + 0
-8 + -14x = -4

Add '8' to each side of the equation.
-8 + 8 + -14x = -4 + 8

Combine like terms: -8 + 8 = 0
0 + -14x = -4 + 8
-14x = -4 + 8

Combine like terms: -4 + 8 = 4
-14x = 4

Divide each side by '-14'.
x = -0.2857142857

Simplifying
x = -0.2857142857

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