2(8-3x)=5-4(1-x)

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Solution for 2(8-3x)=5-4(1-x) equation: 


Simplifying
2(8 + -3x) = 5 + -4(1 + -1x)
(8 * 2 + -3x * 2) = 5 + -4(1 + -1x)
(16 + -6x) = 5 + -4(1 + -1x)
16 + -6x = 5 + (1 * -4 + -1x * -4)
16 + -6x = 5 + (-4 + 4x)

Combine like terms: 5 + -4 = 1
16 + -6x = 1 + 4x

Solving
16 + -6x = 1 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
16 + -6x + -4x = 1 + 4x + -4x

Combine like terms: -6x + -4x = -10x
16 + -10x = 1 + 4x + -4x

Combine like terms: 4x + -4x = 0
16 + -10x = 1 + 0
16 + -10x = 1

Add '-16' to each side of the equation.
16 + -16 + -10x = 1 + -16

Combine like terms: 16 + -16 = 0
0 + -10x = 1 + -16
-10x = 1 + -16

Combine like terms: 1 + -16 = -15
-10x = -15

Divide each side by '-10'.
x = 1.5

Simplifying
x = 1.5

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