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

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


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

Reorder the terms:
4(-3 + 5x) + -2(2x + -7) = 5(3x + 5) + -3
(-3 * 4 + 5x * 4) + -2(2x + -7) = 5(3x + 5) + -3
(-12 + 20x) + -2(2x + -7) = 5(3x + 5) + -3

Reorder the terms:
-12 + 20x + -2(-7 + 2x) = 5(3x + 5) + -3
-12 + 20x + (-7 * -2 + 2x * -2) = 5(3x + 5) + -3
-12 + 20x + (14 + -4x) = 5(3x + 5) + -3

Reorder the terms:
-12 + 14 + 20x + -4x = 5(3x + 5) + -3

Combine like terms: -12 + 14 = 2
2 + 20x + -4x = 5(3x + 5) + -3

Combine like terms: 20x + -4x = 16x
2 + 16x = 5(3x + 5) + -3

Reorder the terms:
2 + 16x = 5(5 + 3x) + -3
2 + 16x = (5 * 5 + 3x * 5) + -3
2 + 16x = (25 + 15x) + -3

Reorder the terms:
2 + 16x = 25 + -3 + 15x

Combine like terms: 25 + -3 = 22
2 + 16x = 22 + 15x

Solving
2 + 16x = 22 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
2 + 16x + -15x = 22 + 15x + -15x

Combine like terms: 16x + -15x = 1x
2 + 1x = 22 + 15x + -15x

Combine like terms: 15x + -15x = 0
2 + 1x = 22 + 0
2 + 1x = 22

Add '-2' to each side of the equation.
2 + -2 + 1x = 22 + -2

Combine like terms: 2 + -2 = 0
0 + 1x = 22 + -2
1x = 22 + -2

Combine like terms: 22 + -2 = 20
1x = 20

Divide each side by '1'.
x = 20

Simplifying
x = 20

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