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

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


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

Reorder the terms:
-7x + 3(-4 + x) = 4(x + 7)
-7x + (-4 * 3 + x * 3) = 4(x + 7)
-7x + (-12 + 3x) = 4(x + 7)

Reorder the terms:
-12 + -7x + 3x = 4(x + 7)

Combine like terms: -7x + 3x = -4x
-12 + -4x = 4(x + 7)

Reorder the terms:
-12 + -4x = 4(7 + x)
-12 + -4x = (7 * 4 + x * 4)
-12 + -4x = (28 + 4x)

Solving
-12 + -4x = 28 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-12 + -4x + -4x = 28 + 4x + -4x

Combine like terms: -4x + -4x = -8x
-12 + -8x = 28 + 4x + -4x

Combine like terms: 4x + -4x = 0
-12 + -8x = 28 + 0
-12 + -8x = 28

Add '12' to each side of the equation.
-12 + 12 + -8x = 28 + 12

Combine like terms: -12 + 12 = 0
0 + -8x = 28 + 12
-8x = 28 + 12

Combine like terms: 28 + 12 = 40
-8x = 40

Divide each side by '-8'.
x = -5

Simplifying
x = -5

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