(x+10)=(4x-35)

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Solution for (x+10)=(4x-35) equation:


Simplifying
(x + 10) = (4x + -35)

Reorder the terms:
(10 + x) = (4x + -35)

Remove parenthesis around (10 + x)
10 + x = (4x + -35)

Reorder the terms:
10 + x = (-35 + 4x)

Remove parenthesis around (-35 + 4x)
10 + x = -35 + 4x

Solving
10 + x = -35 + 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.
10 + x + -4x = -35 + 4x + -4x

Combine like terms: x + -4x = -3x
10 + -3x = -35 + 4x + -4x

Combine like terms: 4x + -4x = 0
10 + -3x = -35 + 0
10 + -3x = -35

Add '-10' to each side of the equation.
10 + -10 + -3x = -35 + -10

Combine like terms: 10 + -10 = 0
0 + -3x = -35 + -10
-3x = -35 + -10

Combine like terms: -35 + -10 = -45
-3x = -45

Divide each side by '-3'.
x = 15

Simplifying
x = 15

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