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

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


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

Reorder the terms:
7(4 + x) = 10(x + 1)
(4 * 7 + x * 7) = 10(x + 1)
(28 + 7x) = 10(x + 1)

Reorder the terms:
28 + 7x = 10(1 + x)
28 + 7x = (1 * 10 + x * 10)
28 + 7x = (10 + 10x)

Solving
28 + 7x = 10 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
28 + 7x + -10x = 10 + 10x + -10x

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

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

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

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

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

Divide each side by '-3'.
x = 6

Simplifying
x = 6

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