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

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


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

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

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

Combine like terms: 4x + 9x = 13x
-12 + 13x = 5x + -5

Reorder the terms:
-12 + 13x = -5 + 5x

Solving
-12 + 13x = -5 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-12 + 13x + -5x = -5 + 5x + -5x

Combine like terms: 13x + -5x = 8x
-12 + 8x = -5 + 5x + -5x

Combine like terms: 5x + -5x = 0
-12 + 8x = -5 + 0
-12 + 8x = -5

Add '12' to each side of the equation.
-12 + 12 + 8x = -5 + 12

Combine like terms: -12 + 12 = 0
0 + 8x = -5 + 12
8x = -5 + 12

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

Divide each side by '8'.
x = 0.875

Simplifying
x = 0.875

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