10x+3(2-x)=5(x+2)+-4

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Solution for 10x+3(2-x)=5(x+2)+-4 equation:


Simplifying
10x + 3(2 + -1x) = 5(x + 2) + -4
10x + (2 * 3 + -1x * 3) = 5(x + 2) + -4
10x + (6 + -3x) = 5(x + 2) + -4

Reorder the terms:
6 + 10x + -3x = 5(x + 2) + -4

Combine like terms: 10x + -3x = 7x
6 + 7x = 5(x + 2) + -4

Reorder the terms:
6 + 7x = 5(2 + x) + -4
6 + 7x = (2 * 5 + x * 5) + -4
6 + 7x = (10 + 5x) + -4

Reorder the terms:
6 + 7x = 10 + -4 + 5x

Combine like terms: 10 + -4 = 6
6 + 7x = 6 + 5x

Add '-6' to each side of the equation.
6 + -6 + 7x = 6 + -6 + 5x

Combine like terms: 6 + -6 = 0
0 + 7x = 6 + -6 + 5x
7x = 6 + -6 + 5x

Combine like terms: 6 + -6 = 0
7x = 0 + 5x
7x = 5x

Solving
7x = 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
7x + -5x = 5x + -5x

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

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

Divide each side by '2'.
x = 0

Simplifying
x = 0

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