7(x-2)+4=-3(2-x)-1

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Solution for 7(x-2)+4=-3(2-x)-1 equation: 


Simplifying
7(x + -2) + 4 = -3(2 + -1x) + -1

Reorder the terms:
7(-2 + x) + 4 = -3(2 + -1x) + -1
(-2 * 7 + x * 7) + 4 = -3(2 + -1x) + -1
(-14 + 7x) + 4 = -3(2 + -1x) + -1

Reorder the terms:
-14 + 4 + 7x = -3(2 + -1x) + -1

Combine like terms: -14 + 4 = -10
-10 + 7x = -3(2 + -1x) + -1
-10 + 7x = (2 * -3 + -1x * -3) + -1
-10 + 7x = (-6 + 3x) + -1

Reorder the terms:
-10 + 7x = -6 + -1 + 3x

Combine like terms: -6 + -1 = -7
-10 + 7x = -7 + 3x

Solving
-10 + 7x = -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.
-10 + 7x + -3x = -7 + 3x + -3x

Combine like terms: 7x + -3x = 4x
-10 + 4x = -7 + 3x + -3x

Combine like terms: 3x + -3x = 0
-10 + 4x = -7 + 0
-10 + 4x = -7

Add '10' to each side of the equation.
-10 + 10 + 4x = -7 + 10

Combine like terms: -10 + 10 = 0
0 + 4x = -7 + 10
4x = -7 + 10

Combine like terms: -7 + 10 = 3
4x = 3

Divide each side by '4'.
x = 0.75

Simplifying
x = 0.75

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