58-(2x+3)=4(x+5)+x

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Solution for 58-(2x+3)=4(x+5)+x equation: 


Simplifying
58 + -1(2x + 3) = 4(x + 5) + x

Reorder the terms:
58 + -1(3 + 2x) = 4(x + 5) + x
58 + (3 * -1 + 2x * -1) = 4(x + 5) + x
58 + (-3 + -2x) = 4(x + 5) + x

Combine like terms: 58 + -3 = 55
55 + -2x = 4(x + 5) + x

Reorder the terms:
55 + -2x = 4(5 + x) + x
55 + -2x = (5 * 4 + x * 4) + x
55 + -2x = (20 + 4x) + x

Combine like terms: 4x + x = 5x
55 + -2x = 20 + 5x

Solving
55 + -2x = 20 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
55 + -2x + -5x = 20 + 5x + -5x

Combine like terms: -2x + -5x = -7x
55 + -7x = 20 + 5x + -5x

Combine like terms: 5x + -5x = 0
55 + -7x = 20 + 0
55 + -7x = 20

Add '-55' to each side of the equation.
55 + -55 + -7x = 20 + -55

Combine like terms: 55 + -55 = 0
0 + -7x = 20 + -55
-7x = 20 + -55

Combine like terms: 20 + -55 = -35
-7x = -35

Divide each side by '-7'.
x = 5

Simplifying
x = 5

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