7(x-2)+5x-2-4x=7(x+5)-20

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Solution for 7(x-2)+5x-2-4x=7(x+5)-20 equation:


Simplifying
7(x + -2) + 5x + -2 + -4x = 7(x + 5) + -20

Reorder the terms:
7(-2 + x) + 5x + -2 + -4x = 7(x + 5) + -20
(-2 * 7 + x * 7) + 5x + -2 + -4x = 7(x + 5) + -20
(-14 + 7x) + 5x + -2 + -4x = 7(x + 5) + -20

Reorder the terms:
-14 + -2 + 7x + 5x + -4x = 7(x + 5) + -20

Combine like terms: -14 + -2 = -16
-16 + 7x + 5x + -4x = 7(x + 5) + -20

Combine like terms: 7x + 5x = 12x
-16 + 12x + -4x = 7(x + 5) + -20

Combine like terms: 12x + -4x = 8x
-16 + 8x = 7(x + 5) + -20

Reorder the terms:
-16 + 8x = 7(5 + x) + -20
-16 + 8x = (5 * 7 + x * 7) + -20
-16 + 8x = (35 + 7x) + -20

Reorder the terms:
-16 + 8x = 35 + -20 + 7x

Combine like terms: 35 + -20 = 15
-16 + 8x = 15 + 7x

Solving
-16 + 8x = 15 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-16 + 8x + -7x = 15 + 7x + -7x

Combine like terms: 8x + -7x = 1x
-16 + 1x = 15 + 7x + -7x

Combine like terms: 7x + -7x = 0
-16 + 1x = 15 + 0
-16 + 1x = 15

Add '16' to each side of the equation.
-16 + 16 + 1x = 15 + 16

Combine like terms: -16 + 16 = 0
0 + 1x = 15 + 16
1x = 15 + 16

Combine like terms: 15 + 16 = 31
1x = 31

Divide each side by '1'.
x = 31

Simplifying
x = 31

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