13+7x=4(4x+40)+x

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Solution for 13+7x=4(4x+40)+x equation: 


Simplifying
13 + 7x = 4(4x + 40) + x

Reorder the terms:
13 + 7x = 4(40 + 4x) + x
13 + 7x = (40 * 4 + 4x * 4) + x
13 + 7x = (160 + 16x) + x

Combine like terms: 16x + x = 17x
13 + 7x = 160 + 17x

Solving
13 + 7x = 160 + 17x

Solving for variable 'x'.

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

Add '-17x' to each side of the equation.
13 + 7x + -17x = 160 + 17x + -17x

Combine like terms: 7x + -17x = -10x
13 + -10x = 160 + 17x + -17x

Combine like terms: 17x + -17x = 0
13 + -10x = 160 + 0
13 + -10x = 160

Add '-13' to each side of the equation.
13 + -13 + -10x = 160 + -13

Combine like terms: 13 + -13 = 0
0 + -10x = 160 + -13
-10x = 160 + -13

Combine like terms: 160 + -13 = 147
-10x = 147

Divide each side by '-10'.
x = -14.7

Simplifying
x = -14.7

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