10(x+1)=7(x+4)

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Solution for 10(x+1)=7(x+4) equation:


Simplifying
10(x + 1) = 7(x + 4)

Reorder the terms:
10(1 + x) = 7(x + 4)
(1 * 10 + x * 10) = 7(x + 4)
(10 + 10x) = 7(x + 4)

Reorder the terms:
10 + 10x = 7(4 + x)
10 + 10x = (4 * 7 + x * 7)
10 + 10x = (28 + 7x)

Solving
10 + 10x = 28 + 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.
10 + 10x + -7x = 28 + 7x + -7x

Combine like terms: 10x + -7x = 3x
10 + 3x = 28 + 7x + -7x

Combine like terms: 7x + -7x = 0
10 + 3x = 28 + 0
10 + 3x = 28

Add '-10' to each side of the equation.
10 + -10 + 3x = 28 + -10

Combine like terms: 10 + -10 = 0
0 + 3x = 28 + -10
3x = 28 + -10

Combine like terms: 28 + -10 = 18
3x = 18

Divide each side by '3'.
x = 6

Simplifying
x = 6

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