4x-7(x+5)=6x+21+4(2-x)

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Solution for 4x-7(x+5)=6x+21+4(2-x) equation:


Simplifying
4x + -7(x + 5) = 6x + 21 + 4(2 + -1x)

Reorder the terms:
4x + -7(5 + x) = 6x + 21 + 4(2 + -1x)
4x + (5 * -7 + x * -7) = 6x + 21 + 4(2 + -1x)
4x + (-35 + -7x) = 6x + 21 + 4(2 + -1x)

Reorder the terms:
-35 + 4x + -7x = 6x + 21 + 4(2 + -1x)

Combine like terms: 4x + -7x = -3x
-35 + -3x = 6x + 21 + 4(2 + -1x)
-35 + -3x = 6x + 21 + (2 * 4 + -1x * 4)
-35 + -3x = 6x + 21 + (8 + -4x)

Reorder the terms:
-35 + -3x = 21 + 8 + 6x + -4x

Combine like terms: 21 + 8 = 29
-35 + -3x = 29 + 6x + -4x

Combine like terms: 6x + -4x = 2x
-35 + -3x = 29 + 2x

Solving
-35 + -3x = 29 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-35 + -3x + -2x = 29 + 2x + -2x

Combine like terms: -3x + -2x = -5x
-35 + -5x = 29 + 2x + -2x

Combine like terms: 2x + -2x = 0
-35 + -5x = 29 + 0
-35 + -5x = 29

Add '35' to each side of the equation.
-35 + 35 + -5x = 29 + 35

Combine like terms: -35 + 35 = 0
0 + -5x = 29 + 35
-5x = 29 + 35

Combine like terms: 29 + 35 = 64
-5x = 64

Divide each side by '-5'.
x = -12.8

Simplifying
x = -12.8

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