x-7=2(4x-3)

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Solution for x-7=2(4x-3) equation:


Simplifying
x + -7 = 2(4x + -3)

Reorder the terms:
-7 + x = 2(4x + -3)

Reorder the terms:
-7 + x = 2(-3 + 4x)
-7 + x = (-3 * 2 + 4x * 2)
-7 + x = (-6 + 8x)

Solving
-7 + x = -6 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-7 + x + -8x = -6 + 8x + -8x

Combine like terms: x + -8x = -7x
-7 + -7x = -6 + 8x + -8x

Combine like terms: 8x + -8x = 0
-7 + -7x = -6 + 0
-7 + -7x = -6

Add '7' to each side of the equation.
-7 + 7 + -7x = -6 + 7

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

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

Divide each side by '-7'.
x = -0.1428571429

Simplifying
x = -0.1428571429

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