10x-7x=5(x+8)-3(x+11)

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Solution for 10x-7x=5(x+8)-3(x+11) equation:


Simplifying
10x + -7x = 5(x + 8) + -3(x + 11)

Combine like terms: 10x + -7x = 3x
3x = 5(x + 8) + -3(x + 11)

Reorder the terms:
3x = 5(8 + x) + -3(x + 11)
3x = (8 * 5 + x * 5) + -3(x + 11)
3x = (40 + 5x) + -3(x + 11)

Reorder the terms:
3x = 40 + 5x + -3(11 + x)
3x = 40 + 5x + (11 * -3 + x * -3)
3x = 40 + 5x + (-33 + -3x)

Reorder the terms:
3x = 40 + -33 + 5x + -3x

Combine like terms: 40 + -33 = 7
3x = 7 + 5x + -3x

Combine like terms: 5x + -3x = 2x
3x = 7 + 2x

Solving
3x = 7 + 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.
3x + -2x = 7 + 2x + -2x

Combine like terms: 3x + -2x = 1x
1x = 7 + 2x + -2x

Combine like terms: 2x + -2x = 0
1x = 7 + 0
1x = 7

Divide each side by '1'.
x = 7

Simplifying
x = 7

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