4(x-2)+3x=2x+57

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Solution for 4(x-2)+3x=2x+57 equation:


Simplifying
4(x + -2) + 3x = 2x + 57

Reorder the terms:
4(-2 + x) + 3x = 2x + 57
(-2 * 4 + x * 4) + 3x = 2x + 57
(-8 + 4x) + 3x = 2x + 57

Combine like terms: 4x + 3x = 7x
-8 + 7x = 2x + 57

Reorder the terms:
-8 + 7x = 57 + 2x

Solving
-8 + 7x = 57 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-8 + 7x + -2x = 57 + 2x + -2x

Combine like terms: 7x + -2x = 5x
-8 + 5x = 57 + 2x + -2x

Combine like terms: 2x + -2x = 0
-8 + 5x = 57 + 0
-8 + 5x = 57

Add '8' to each side of the equation.
-8 + 8 + 5x = 57 + 8

Combine like terms: -8 + 8 = 0
0 + 5x = 57 + 8
5x = 57 + 8

Combine like terms: 57 + 8 = 65
5x = 65

Divide each side by '5'.
x = 13

Simplifying
x = 13

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