52+3(x-10)=7x+18

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Solution for 52+3(x-10)=7x+18 equation:


Simplifying
52 + 3(x + -10) = 7x + 18

Reorder the terms:
52 + 3(-10 + x) = 7x + 18
52 + (-10 * 3 + x * 3) = 7x + 18
52 + (-30 + 3x) = 7x + 18

Combine like terms: 52 + -30 = 22
22 + 3x = 7x + 18

Reorder the terms:
22 + 3x = 18 + 7x

Solving
22 + 3x = 18 + 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.
22 + 3x + -7x = 18 + 7x + -7x

Combine like terms: 3x + -7x = -4x
22 + -4x = 18 + 7x + -7x

Combine like terms: 7x + -7x = 0
22 + -4x = 18 + 0
22 + -4x = 18

Add '-22' to each side of the equation.
22 + -22 + -4x = 18 + -22

Combine like terms: 22 + -22 = 0
0 + -4x = 18 + -22
-4x = 18 + -22

Combine like terms: 18 + -22 = -4
-4x = -4

Divide each side by '-4'.
x = 1

Simplifying
x = 1

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