-7(x-3)+4=3(7+x)

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


Simplifying
-7(x + -3) + 4 = 3(7 + x)

Reorder the terms:
-7(-3 + x) + 4 = 3(7 + x)
(-3 * -7 + x * -7) + 4 = 3(7 + x)
(21 + -7x) + 4 = 3(7 + x)

Reorder the terms:
21 + 4 + -7x = 3(7 + x)

Combine like terms: 21 + 4 = 25
25 + -7x = 3(7 + x)
25 + -7x = (7 * 3 + x * 3)
25 + -7x = (21 + 3x)

Solving
25 + -7x = 21 + 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.
25 + -7x + -3x = 21 + 3x + -3x

Combine like terms: -7x + -3x = -10x
25 + -10x = 21 + 3x + -3x

Combine like terms: 3x + -3x = 0
25 + -10x = 21 + 0
25 + -10x = 21

Add '-25' to each side of the equation.
25 + -25 + -10x = 21 + -25

Combine like terms: 25 + -25 = 0
0 + -10x = 21 + -25
-10x = 21 + -25

Combine like terms: 21 + -25 = -4
-10x = -4

Divide each side by '-10'.
x = 0.4

Simplifying
x = 0.4

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