3(2x-5)-2(4x-3)=5(7x-2)+3x

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Solution for 3(2x-5)-2(4x-3)=5(7x-2)+3x equation:


Simplifying
3(2x + -5) + -2(4x + -3) = 5(7x + -2) + 3x

Reorder the terms:
3(-5 + 2x) + -2(4x + -3) = 5(7x + -2) + 3x
(-5 * 3 + 2x * 3) + -2(4x + -3) = 5(7x + -2) + 3x
(-15 + 6x) + -2(4x + -3) = 5(7x + -2) + 3x

Reorder the terms:
-15 + 6x + -2(-3 + 4x) = 5(7x + -2) + 3x
-15 + 6x + (-3 * -2 + 4x * -2) = 5(7x + -2) + 3x
-15 + 6x + (6 + -8x) = 5(7x + -2) + 3x

Reorder the terms:
-15 + 6 + 6x + -8x = 5(7x + -2) + 3x

Combine like terms: -15 + 6 = -9
-9 + 6x + -8x = 5(7x + -2) + 3x

Combine like terms: 6x + -8x = -2x
-9 + -2x = 5(7x + -2) + 3x

Reorder the terms:
-9 + -2x = 5(-2 + 7x) + 3x
-9 + -2x = (-2 * 5 + 7x * 5) + 3x
-9 + -2x = (-10 + 35x) + 3x

Combine like terms: 35x + 3x = 38x
-9 + -2x = -10 + 38x

Solving
-9 + -2x = -10 + 38x

Solving for variable 'x'.

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

Add '-38x' to each side of the equation.
-9 + -2x + -38x = -10 + 38x + -38x

Combine like terms: -2x + -38x = -40x
-9 + -40x = -10 + 38x + -38x

Combine like terms: 38x + -38x = 0
-9 + -40x = -10 + 0
-9 + -40x = -10

Add '9' to each side of the equation.
-9 + 9 + -40x = -10 + 9

Combine like terms: -9 + 9 = 0
0 + -40x = -10 + 9
-40x = -10 + 9

Combine like terms: -10 + 9 = -1
-40x = -1

Divide each side by '-40'.
x = 0.025

Simplifying
x = 0.025

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