7x+3(3-x)=2(x+8)-7

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Solution for 7x+3(3-x)=2(x+8)-7 equation:


Simplifying
7x + 3(3 + -1x) = 2(x + 8) + -7
7x + (3 * 3 + -1x * 3) = 2(x + 8) + -7
7x + (9 + -3x) = 2(x + 8) + -7

Reorder the terms:
9 + 7x + -3x = 2(x + 8) + -7

Combine like terms: 7x + -3x = 4x
9 + 4x = 2(x + 8) + -7

Reorder the terms:
9 + 4x = 2(8 + x) + -7
9 + 4x = (8 * 2 + x * 2) + -7
9 + 4x = (16 + 2x) + -7

Reorder the terms:
9 + 4x = 16 + -7 + 2x

Combine like terms: 16 + -7 = 9
9 + 4x = 9 + 2x

Add '-9' to each side of the equation.
9 + -9 + 4x = 9 + -9 + 2x

Combine like terms: 9 + -9 = 0
0 + 4x = 9 + -9 + 2x
4x = 9 + -9 + 2x

Combine like terms: 9 + -9 = 0
4x = 0 + 2x
4x = 2x

Solving
4x = 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.
4x + -2x = 2x + -2x

Combine like terms: 4x + -2x = 2x
2x = 2x + -2x

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

Divide each side by '2'.
x = 0

Simplifying
x = 0

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