4(x+7)=3x-7

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


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

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

Reorder the terms:
28 + 4x = -7 + 3x

Solving
28 + 4x = -7 + 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.
28 + 4x + -3x = -7 + 3x + -3x

Combine like terms: 4x + -3x = 1x
28 + 1x = -7 + 3x + -3x

Combine like terms: 3x + -3x = 0
28 + 1x = -7 + 0
28 + 1x = -7

Add '-28' to each side of the equation.
28 + -28 + 1x = -7 + -28

Combine like terms: 28 + -28 = 0
0 + 1x = -7 + -28
1x = -7 + -28

Combine like terms: -7 + -28 = -35
1x = -35

Divide each side by '1'.
x = -35

Simplifying
x = -35

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