(x+10)=4(x-26)

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Solution for (x+10)=4(x-26) equation:


Simplifying
(x + 10) = 4(x + -26)

Reorder the terms:
(10 + x) = 4(x + -26)

Remove parenthesis around (10 + x)
10 + x = 4(x + -26)

Reorder the terms:
10 + x = 4(-26 + x)
10 + x = (-26 * 4 + x * 4)
10 + x = (-104 + 4x)

Solving
10 + x = -104 + 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 = -104 + 4x + -4x

Combine like terms: x + -4x = -3x
10 + -3x = -104 + 4x + -4x

Combine like terms: 4x + -4x = 0
10 + -3x = -104 + 0
10 + -3x = -104

Add '-10' to each side of the equation.
10 + -10 + -3x = -104 + -10

Combine like terms: 10 + -10 = 0
0 + -3x = -104 + -10
-3x = -104 + -10

Combine like terms: -104 + -10 = -114
-3x = -114

Divide each side by '-3'.
x = 38

Simplifying
x = 38

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