2(x-5)+45=4-(3-4x)

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Solution for 2(x-5)+45=4-(3-4x) equation: 


Simplifying
2(x + -5) + 45 = 4 + -1(3 + -4x)

Reorder the terms:
2(-5 + x) + 45 = 4 + -1(3 + -4x)
(-5 * 2 + x * 2) + 45 = 4 + -1(3 + -4x)
(-10 + 2x) + 45 = 4 + -1(3 + -4x)

Reorder the terms:
-10 + 45 + 2x = 4 + -1(3 + -4x)

Combine like terms: -10 + 45 = 35
35 + 2x = 4 + -1(3 + -4x)
35 + 2x = 4 + (3 * -1 + -4x * -1)
35 + 2x = 4 + (-3 + 4x)

Combine like terms: 4 + -3 = 1
35 + 2x = 1 + 4x

Solving
35 + 2x = 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.
35 + 2x + -4x = 1 + 4x + -4x

Combine like terms: 2x + -4x = -2x
35 + -2x = 1 + 4x + -4x

Combine like terms: 4x + -4x = 0
35 + -2x = 1 + 0
35 + -2x = 1

Add '-35' to each side of the equation.
35 + -35 + -2x = 1 + -35

Combine like terms: 35 + -35 = 0
0 + -2x = 1 + -35
-2x = 1 + -35

Combine like terms: 1 + -35 = -34
-2x = -34

Divide each side by '-2'.
x = 17

Simplifying
x = 17

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