149=7x+3(5x+13)

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Solution for 149=7x+3(5x+13) equation:


Simplifying
149 = 7x + 3(5x + 13)

Reorder the terms:
149 = 7x + 3(13 + 5x)
149 = 7x + (13 * 3 + 5x * 3)
149 = 7x + (39 + 15x)

Reorder the terms:
149 = 39 + 7x + 15x

Combine like terms: 7x + 15x = 22x
149 = 39 + 22x

Solving
149 = 39 + 22x

Solving for variable 'x'.

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

Add '-22x' to each side of the equation.
149 + -22x = 39 + 22x + -22x

Combine like terms: 22x + -22x = 0
149 + -22x = 39 + 0
149 + -22x = 39

Add '-149' to each side of the equation.
149 + -149 + -22x = 39 + -149

Combine like terms: 149 + -149 = 0
0 + -22x = 39 + -149
-22x = 39 + -149

Combine like terms: 39 + -149 = -110
-22x = -110

Divide each side by '-22'.
x = 5

Simplifying
x = 5

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