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

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


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

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

Reorder the terms:
10 = 28 + -7x + 4x

Combine like terms: -7x + 4x = -3x
10 = 28 + -3x

Solving
10 = 28 + -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.
10 + 3x = 28 + -3x + 3x

Combine like terms: -3x + 3x = 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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