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

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


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

Reorder the terms:
-5(-2 + x) = 4(x + 2) + -7
(-2 * -5 + x * -5) = 4(x + 2) + -7
(10 + -5x) = 4(x + 2) + -7

Reorder the terms:
10 + -5x = 4(2 + x) + -7
10 + -5x = (2 * 4 + x * 4) + -7
10 + -5x = (8 + 4x) + -7

Reorder the terms:
10 + -5x = 8 + -7 + 4x

Combine like terms: 8 + -7 = 1
10 + -5x = 1 + 4x

Solving
10 + -5x = 1 + 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.
10 + -5x + -4x = 1 + 4x + -4x

Combine like terms: -5x + -4x = -9x
10 + -9x = 1 + 4x + -4x

Combine like terms: 4x + -4x = 0
10 + -9x = 1 + 0
10 + -9x = 1

Add '-10' to each side of the equation.
10 + -10 + -9x = 1 + -10

Combine like terms: 10 + -10 = 0
0 + -9x = 1 + -10
-9x = 1 + -10

Combine like terms: 1 + -10 = -9
-9x = -9

Divide each side by '-9'.
x = 1

Simplifying
x = 1

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