3(5x-2)=4x+2x+x+102

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Solution for 3(5x-2)=4x+2x+x+102 equation:


Simplifying
3(5x + -2) = 4x + 2x + x + 102

Reorder the terms:
3(-2 + 5x) = 4x + 2x + x + 102
(-2 * 3 + 5x * 3) = 4x + 2x + x + 102
(-6 + 15x) = 4x + 2x + x + 102

Reorder the terms:
-6 + 15x = 102 + 4x + 2x + x

Combine like terms: 4x + 2x = 6x
-6 + 15x = 102 + 6x + x

Combine like terms: 6x + x = 7x
-6 + 15x = 102 + 7x

Solving
-6 + 15x = 102 + 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.
-6 + 15x + -7x = 102 + 7x + -7x

Combine like terms: 15x + -7x = 8x
-6 + 8x = 102 + 7x + -7x

Combine like terms: 7x + -7x = 0
-6 + 8x = 102 + 0
-6 + 8x = 102

Add '6' to each side of the equation.
-6 + 6 + 8x = 102 + 6

Combine like terms: -6 + 6 = 0
0 + 8x = 102 + 6
8x = 102 + 6

Combine like terms: 102 + 6 = 108
8x = 108

Divide each side by '8'.
x = 13.5

Simplifying
x = 13.5

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