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

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


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

Reorder the terms:
4[2(5 + x) + -7] = 5(x + 3)
4[(5 * 2 + x * 2) + -7] = 5(x + 3)
4[(10 + 2x) + -7] = 5(x + 3)

Reorder the terms:
4[10 + -7 + 2x] = 5(x + 3)

Combine like terms: 10 + -7 = 3
4[3 + 2x] = 5(x + 3)
[3 * 4 + 2x * 4] = 5(x + 3)
[12 + 8x] = 5(x + 3)

Reorder the terms:
12 + 8x = 5(3 + x)
12 + 8x = (3 * 5 + x * 5)
12 + 8x = (15 + 5x)

Solving
12 + 8x = 15 + 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.
12 + 8x + -5x = 15 + 5x + -5x

Combine like terms: 8x + -5x = 3x
12 + 3x = 15 + 5x + -5x

Combine like terms: 5x + -5x = 0
12 + 3x = 15 + 0
12 + 3x = 15

Add '-12' to each side of the equation.
12 + -12 + 3x = 15 + -12

Combine like terms: 12 + -12 = 0
0 + 3x = 15 + -12
3x = 15 + -12

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

Divide each side by '3'.
x = 1

Simplifying
x = 1

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