7(x+4)+10=40+3x

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Solution for 7(x+4)+10=40+3x equation:


Simplifying
7(x + 4) + 10 = 40 + 3x

Reorder the terms:
7(4 + x) + 10 = 40 + 3x
(4 * 7 + x * 7) + 10 = 40 + 3x
(28 + 7x) + 10 = 40 + 3x

Reorder the terms:
28 + 10 + 7x = 40 + 3x

Combine like terms: 28 + 10 = 38
38 + 7x = 40 + 3x

Solving
38 + 7x = 40 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
38 + 7x + -3x = 40 + 3x + -3x

Combine like terms: 7x + -3x = 4x
38 + 4x = 40 + 3x + -3x

Combine like terms: 3x + -3x = 0
38 + 4x = 40 + 0
38 + 4x = 40

Add '-38' to each side of the equation.
38 + -38 + 4x = 40 + -38

Combine like terms: 38 + -38 = 0
0 + 4x = 40 + -38
4x = 40 + -38

Combine like terms: 40 + -38 = 2
4x = 2

Divide each side by '4'.
x = 0.5

Simplifying
x = 0.5

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