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

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


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

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

Combine like terms: 2x + 3x = 5x
-7 + 5x = 5(4x + -3) + 5

Reorder the terms:
-7 + 5x = 5(-3 + 4x) + 5
-7 + 5x = (-3 * 5 + 4x * 5) + 5
-7 + 5x = (-15 + 20x) + 5

Reorder the terms:
-7 + 5x = -15 + 5 + 20x

Combine like terms: -15 + 5 = -10
-7 + 5x = -10 + 20x

Solving
-7 + 5x = -10 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
-7 + 5x + -20x = -10 + 20x + -20x

Combine like terms: 5x + -20x = -15x
-7 + -15x = -10 + 20x + -20x

Combine like terms: 20x + -20x = 0
-7 + -15x = -10 + 0
-7 + -15x = -10

Add '7' to each side of the equation.
-7 + 7 + -15x = -10 + 7

Combine like terms: -7 + 7 = 0
0 + -15x = -10 + 7
-15x = -10 + 7

Combine like terms: -10 + 7 = -3
-15x = -3

Divide each side by '-15'.
x = 0.2

Simplifying
x = 0.2

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