7-3(5-3x)=4(x-3)+5

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Solution for 7-3(5-3x)=4(x-3)+5 equation:


Simplifying
7 + -3(5 + -3x) = 4(x + -3) + 5
7 + (5 * -3 + -3x * -3) = 4(x + -3) + 5
7 + (-15 + 9x) = 4(x + -3) + 5

Combine like terms: 7 + -15 = -8
-8 + 9x = 4(x + -3) + 5

Reorder the terms:
-8 + 9x = 4(-3 + x) + 5
-8 + 9x = (-3 * 4 + x * 4) + 5
-8 + 9x = (-12 + 4x) + 5

Reorder the terms:
-8 + 9x = -12 + 5 + 4x

Combine like terms: -12 + 5 = -7
-8 + 9x = -7 + 4x

Solving
-8 + 9x = -7 + 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.
-8 + 9x + -4x = -7 + 4x + -4x

Combine like terms: 9x + -4x = 5x
-8 + 5x = -7 + 4x + -4x

Combine like terms: 4x + -4x = 0
-8 + 5x = -7 + 0
-8 + 5x = -7

Add '8' to each side of the equation.
-8 + 8 + 5x = -7 + 8

Combine like terms: -8 + 8 = 0
0 + 5x = -7 + 8
5x = -7 + 8

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

Divide each side by '5'.
x = 0.2

Simplifying
x = 0.2

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