3(5x-3)-4(2x+1)=5x-2

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Solution for 3(5x-3)-4(2x+1)=5x-2 equation:


Simplifying
3(5x + -3) + -4(2x + 1) = 5x + -2

Reorder the terms:
3(-3 + 5x) + -4(2x + 1) = 5x + -2
(-3 * 3 + 5x * 3) + -4(2x + 1) = 5x + -2
(-9 + 15x) + -4(2x + 1) = 5x + -2

Reorder the terms:
-9 + 15x + -4(1 + 2x) = 5x + -2
-9 + 15x + (1 * -4 + 2x * -4) = 5x + -2
-9 + 15x + (-4 + -8x) = 5x + -2

Reorder the terms:
-9 + -4 + 15x + -8x = 5x + -2

Combine like terms: -9 + -4 = -13
-13 + 15x + -8x = 5x + -2

Combine like terms: 15x + -8x = 7x
-13 + 7x = 5x + -2

Reorder the terms:
-13 + 7x = -2 + 5x

Solving
-13 + 7x = -2 + 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.
-13 + 7x + -5x = -2 + 5x + -5x

Combine like terms: 7x + -5x = 2x
-13 + 2x = -2 + 5x + -5x

Combine like terms: 5x + -5x = 0
-13 + 2x = -2 + 0
-13 + 2x = -2

Add '13' to each side of the equation.
-13 + 13 + 2x = -2 + 13

Combine like terms: -13 + 13 = 0
0 + 2x = -2 + 13
2x = -2 + 13

Combine like terms: -2 + 13 = 11
2x = 11

Divide each side by '2'.
x = 5.5

Simplifying
x = 5.5

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