4(7x-5)-3(5x-8)=4(3x+4)-11

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Solution for 4(7x-5)-3(5x-8)=4(3x+4)-11 equation:


Simplifying
4(7x + -5) + -3(5x + -8) = 4(3x + 4) + -11

Reorder the terms:
4(-5 + 7x) + -3(5x + -8) = 4(3x + 4) + -11
(-5 * 4 + 7x * 4) + -3(5x + -8) = 4(3x + 4) + -11
(-20 + 28x) + -3(5x + -8) = 4(3x + 4) + -11

Reorder the terms:
-20 + 28x + -3(-8 + 5x) = 4(3x + 4) + -11
-20 + 28x + (-8 * -3 + 5x * -3) = 4(3x + 4) + -11
-20 + 28x + (24 + -15x) = 4(3x + 4) + -11

Reorder the terms:
-20 + 24 + 28x + -15x = 4(3x + 4) + -11

Combine like terms: -20 + 24 = 4
4 + 28x + -15x = 4(3x + 4) + -11

Combine like terms: 28x + -15x = 13x
4 + 13x = 4(3x + 4) + -11

Reorder the terms:
4 + 13x = 4(4 + 3x) + -11
4 + 13x = (4 * 4 + 3x * 4) + -11
4 + 13x = (16 + 12x) + -11

Reorder the terms:
4 + 13x = 16 + -11 + 12x

Combine like terms: 16 + -11 = 5
4 + 13x = 5 + 12x

Solving
4 + 13x = 5 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
4 + 13x + -12x = 5 + 12x + -12x

Combine like terms: 13x + -12x = 1x
4 + 1x = 5 + 12x + -12x

Combine like terms: 12x + -12x = 0
4 + 1x = 5 + 0
4 + 1x = 5

Add '-4' to each side of the equation.
4 + -4 + 1x = 5 + -4

Combine like terms: 4 + -4 = 0
0 + 1x = 5 + -4
1x = 5 + -4

Combine like terms: 5 + -4 = 1
1x = 1

Divide each side by '1'.
x = 1

Simplifying
x = 1

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