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

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


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

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

Combine like terms: 5x + 2x = 7x
-15 + 7x = 2(x + -4) + 4x

Reorder the terms:
-15 + 7x = 2(-4 + x) + 4x
-15 + 7x = (-4 * 2 + x * 2) + 4x
-15 + 7x = (-8 + 2x) + 4x

Combine like terms: 2x + 4x = 6x
-15 + 7x = -8 + 6x

Solving
-15 + 7x = -8 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-15 + 7x + -6x = -8 + 6x + -6x

Combine like terms: 7x + -6x = 1x
-15 + 1x = -8 + 6x + -6x

Combine like terms: 6x + -6x = 0
-15 + 1x = -8 + 0
-15 + 1x = -8

Add '15' to each side of the equation.
-15 + 15 + 1x = -8 + 15

Combine like terms: -15 + 15 = 0
0 + 1x = -8 + 15
1x = -8 + 15

Combine like terms: -8 + 15 = 7
1x = 7

Divide each side by '1'.
x = 7

Simplifying
x = 7

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