3+4(x-1)=7x+7(x+4)

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Solution for 3+4(x-1)=7x+7(x+4) equation:


Simplifying
3 + 4(x + -1) = 7x + 7(x + 4)

Reorder the terms:
3 + 4(-1 + x) = 7x + 7(x + 4)
3 + (-1 * 4 + x * 4) = 7x + 7(x + 4)
3 + (-4 + 4x) = 7x + 7(x + 4)

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

Reorder the terms:
-1 + 4x = 7x + 7(4 + x)
-1 + 4x = 7x + (4 * 7 + x * 7)
-1 + 4x = 7x + (28 + 7x)

Reorder the terms:
-1 + 4x = 28 + 7x + 7x

Combine like terms: 7x + 7x = 14x
-1 + 4x = 28 + 14x

Solving
-1 + 4x = 28 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
-1 + 4x + -14x = 28 + 14x + -14x

Combine like terms: 4x + -14x = -10x
-1 + -10x = 28 + 14x + -14x

Combine like terms: 14x + -14x = 0
-1 + -10x = 28 + 0
-1 + -10x = 28

Add '1' to each side of the equation.
-1 + 1 + -10x = 28 + 1

Combine like terms: -1 + 1 = 0
0 + -10x = 28 + 1
-10x = 28 + 1

Combine like terms: 28 + 1 = 29
-10x = 29

Divide each side by '-10'.
x = -2.9

Simplifying
x = -2.9

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