2(5x-3)+5x=-4(4x-6)-3x

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Solution for 2(5x-3)+5x=-4(4x-6)-3x equation:


Simplifying
2(5x + -3) + 5x = -4(4x + -6) + -3x

Reorder the terms:
2(-3 + 5x) + 5x = -4(4x + -6) + -3x
(-3 * 2 + 5x * 2) + 5x = -4(4x + -6) + -3x
(-6 + 10x) + 5x = -4(4x + -6) + -3x

Combine like terms: 10x + 5x = 15x
-6 + 15x = -4(4x + -6) + -3x

Reorder the terms:
-6 + 15x = -4(-6 + 4x) + -3x
-6 + 15x = (-6 * -4 + 4x * -4) + -3x
-6 + 15x = (24 + -16x) + -3x

Combine like terms: -16x + -3x = -19x
-6 + 15x = 24 + -19x

Solving
-6 + 15x = 24 + -19x

Solving for variable 'x'.

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

Add '19x' to each side of the equation.
-6 + 15x + 19x = 24 + -19x + 19x

Combine like terms: 15x + 19x = 34x
-6 + 34x = 24 + -19x + 19x

Combine like terms: -19x + 19x = 0
-6 + 34x = 24 + 0
-6 + 34x = 24

Add '6' to each side of the equation.
-6 + 6 + 34x = 24 + 6

Combine like terms: -6 + 6 = 0
0 + 34x = 24 + 6
34x = 24 + 6

Combine like terms: 24 + 6 = 30
34x = 30

Divide each side by '34'.
x = 0.8823529412

Simplifying
x = 0.8823529412

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