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

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


Simplifying
4(5 + 3x) = 7x + 5 + -2(3 + -4x)
(5 * 4 + 3x * 4) = 7x + 5 + -2(3 + -4x)
(20 + 12x) = 7x + 5 + -2(3 + -4x)
20 + 12x = 7x + 5 + (3 * -2 + -4x * -2)
20 + 12x = 7x + 5 + (-6 + 8x)

Reorder the terms:
20 + 12x = 5 + -6 + 7x + 8x

Combine like terms: 5 + -6 = -1
20 + 12x = -1 + 7x + 8x

Combine like terms: 7x + 8x = 15x
20 + 12x = -1 + 15x

Solving
20 + 12x = -1 + 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.
20 + 12x + -15x = -1 + 15x + -15x

Combine like terms: 12x + -15x = -3x
20 + -3x = -1 + 15x + -15x

Combine like terms: 15x + -15x = 0
20 + -3x = -1 + 0
20 + -3x = -1

Add '-20' to each side of the equation.
20 + -20 + -3x = -1 + -20

Combine like terms: 20 + -20 = 0
0 + -3x = -1 + -20
-3x = -1 + -20

Combine like terms: -1 + -20 = -21
-3x = -21

Divide each side by '-3'.
x = 7

Simplifying
x = 7

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