x+5=2(4x-3)

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


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

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

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

Solving
5 + 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.
5 + x + -8x = -6 + 8x + -8x

Combine like terms: x + -8x = -7x
5 + -7x = -6 + 8x + -8x

Combine like terms: 8x + -8x = 0
5 + -7x = -6 + 0
5 + -7x = -6

Add '-5' to each side of the equation.
5 + -5 + -7x = -6 + -5

Combine like terms: 5 + -5 = 0
0 + -7x = -6 + -5
-7x = -6 + -5

Combine like terms: -6 + -5 = -11
-7x = -11

Divide each side by '-7'.
x = 1.571428571

Simplifying
x = 1.571428571

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