5(x+1)+3x=7x+10

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Solution for 5(x+1)+3x=7x+10 equation:


Simplifying
5(x + 1) + 3x = 7x + 10

Reorder the terms:
5(1 + x) + 3x = 7x + 10
(1 * 5 + x * 5) + 3x = 7x + 10
(5 + 5x) + 3x = 7x + 10

Combine like terms: 5x + 3x = 8x
5 + 8x = 7x + 10

Reorder the terms:
5 + 8x = 10 + 7x

Solving
5 + 8x = 10 + 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.
5 + 8x + -7x = 10 + 7x + -7x

Combine like terms: 8x + -7x = 1x
5 + 1x = 10 + 7x + -7x

Combine like terms: 7x + -7x = 0
5 + 1x = 10 + 0
5 + 1x = 10

Add '-5' to each side of the equation.
5 + -5 + 1x = 10 + -5

Combine like terms: 5 + -5 = 0
0 + 1x = 10 + -5
1x = 10 + -5

Combine like terms: 10 + -5 = 5
1x = 5

Divide each side by '1'.
x = 5

Simplifying
x = 5

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