40x+290=15x+75(7x+35)

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Solution for 40x+290=15x+75(7x+35) equation:


Simplifying
40x + 290 = 15x + 75(7x + 35)

Reorder the terms:
290 + 40x = 15x + 75(7x + 35)

Reorder the terms:
290 + 40x = 15x + 75(35 + 7x)
290 + 40x = 15x + (35 * 75 + 7x * 75)
290 + 40x = 15x + (2625 + 525x)

Reorder the terms:
290 + 40x = 2625 + 15x + 525x

Combine like terms: 15x + 525x = 540x
290 + 40x = 2625 + 540x

Solving
290 + 40x = 2625 + 540x

Solving for variable 'x'.

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

Add '-540x' to each side of the equation.
290 + 40x + -540x = 2625 + 540x + -540x

Combine like terms: 40x + -540x = -500x
290 + -500x = 2625 + 540x + -540x

Combine like terms: 540x + -540x = 0
290 + -500x = 2625 + 0
290 + -500x = 2625

Add '-290' to each side of the equation.
290 + -290 + -500x = 2625 + -290

Combine like terms: 290 + -290 = 0
0 + -500x = 2625 + -290
-500x = 2625 + -290

Combine like terms: 2625 + -290 = 2335
-500x = 2335

Divide each side by '-500'.
x = -4.67

Simplifying
x = -4.67

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