4(x+5)=7x+26

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Solution for 4(x+5)=7x+26 equation:


Simplifying
4(x + 5) = 7x + 26

Reorder the terms:
4(5 + x) = 7x + 26
(5 * 4 + x * 4) = 7x + 26
(20 + 4x) = 7x + 26

Reorder the terms:
20 + 4x = 26 + 7x

Solving
20 + 4x = 26 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
20 + 4x + -7x = 26 + 7x + -7x

Combine like terms: 4x + -7x = -3x
20 + -3x = 26 + 7x + -7x

Combine like terms: 7x + -7x = 0
20 + -3x = 26 + 0
20 + -3x = 26

Add '-20' to each side of the equation.
20 + -20 + -3x = 26 + -20

Combine like terms: 20 + -20 = 0
0 + -3x = 26 + -20
-3x = 26 + -20

Combine like terms: 26 + -20 = 6
-3x = 6

Divide each side by '-3'.
x = -2

Simplifying
x = -2

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